Question

-4 ( z + 12) = 36

solve for z

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for z, we need to isolate it on one side of the equation. Let's go step by step:

First, distribute -4 to z and -4 to 12:
-4z - 48 = 36

Next, let's bring 48 to the other side of the equation by adding 48 to both sides:
-4z = 36 + 48
-4z = 84

Then, we can solve for z by dividing both sides of the equation by -4:
z = 84 / -4
z = -21

Therefore, the value of z that satisfies the equation is z = -21.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation -4(z + 12) = 36, you will need to follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4z - 48 = 36

Step 2: Move the constant term to the right side of the equation by adding 48 to both sides:
-4z = 36 + 48
-4z = 84

Step 3: Divide both sides of the equation by -4 to isolate z:
z = 84 / -4

Step 4: Simplify the right side of the equation:
z = -21

Therefore, the solution to the equation -4(z + 12) = 36 is z = -21.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation -4(z + 12) = 36 for z, we will follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * z = -4z
-4 * 12 = -48

So the equation becomes:
-4z - 48 = 36

Step 2: To get rid of the -48 on the left side of the equation, we add 48 to both sides:
-4z - 48 + 48 = 36 + 48
-4z = 84

Step 3: Now we want to isolate z, so we need to get rid of the -4 coefficient. To do this, we perform the opposite operation, which is dividing both sides by -4:

(-4z) / -4 = 84 / -4
z = -21

So the value of z that satisfies the equation -4(z + 12) = 36 is z = -21.

Answer 4

2 (x + 9) = 16

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the equation 2(x + 9) = 16 for x, we will follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:
2 * x = 2x
2 * 9 = 18

So the equation becomes:
2x + 18 = 16

Step 2: To get rid of the 18 on the left side of the equation, we subtract 18 from both sides:
2x + 18 - 18 = 16 - 18
2x = -2

Step 3: Now we want to isolate x, so we need to get rid of the 2 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 2:

(2x) / 2 = -2 / 2
x = -1

So the value of x that satisfies the equation 2(x + 9) = 16 is x = -1.

Answer 6

8 (x - 10) = 56

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation 8(x - 10) = 56 for x, we will follow these steps:

Step 1: Distribute the 8 to the terms inside the parentheses:
8 * x = 8x
8 * (-10) = -80

So the equation becomes:
8x - 80 = 56

Step 2: To get rid of the -80 on the left side of the equation, we add 80 to both sides:
8x - 80 + 80 = 56 + 80
8x = 136

Step 3: Now we want to isolate x, so we need to get rid of the 8 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 8:

(8x) / 8 = 136 / 8
x = 17

So the value of x that satisfies the equation 8(x - 10) = 56 is x = 17.

Answer 8

10 (z - 1) = 50

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the equation 10(z - 1) = 50 for z, we will follow these steps:

Step 1: Distribute the 10 to the terms inside the parentheses:
10 * z = 10z
10 * (-1) = -10

So the equation becomes:
10z - 10 = 50

Step 2: To get rid of the -10 on the left side of the equation, we add 10 to both sides:
10z - 10 + 10 = 50 + 10
10z = 60

Step 3: Now we want to isolate z, so we need to get rid of the 10 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 10:

(10z) / 10 = 60 / 10
z = 6

So the value of z that satisfies the equation 10(z - 1) = 50 is z = 6.

Answer 10

5 (x - 10) = 65

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve the equation 5(x - 10) = 65 for x, we will follow these steps:

Step 1: Distribute the 5 to the terms inside the parentheses:
5 * x = 5x
5 * (-10) = -50

So the equation becomes:
5x - 50 = 65

Step 2: To get rid of the -50 on the left side of the equation, we add 50 to both sides:
5x - 50 + 50 = 65 + 50
5x = 115

Step 3: Now we want to isolate x, so we need to get rid of the 5 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 5:

(5x) / 5 = 115 / 5
x = 23

So the value of x that satisfies the equation 5(x - 10) = 65 is x = 23.

Answer 12

-4 (x - 8) = -32

Answer 13

[AI-generated answer — Bot GPT 3.5]

To solve the equation -4(x - 8) = -32 for x, we will follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * x = -4x
-4 * (-8) = 32

So the equation becomes:
-4x + 32 = -32

Step 2: To get rid of the 32 on the left side of the equation, we subtract 32 from both sides:
-4x + 32 - 32 = -32 - 32
-4x = -64

Step 3: Now we want to isolate x, so we need to get rid of the -4 coefficient. To do this, we perform the opposite operation, which is dividing both sides by -4:

(-4x) / -4 = -64 / -4
x = 16

So the value of x that satisfies the equation -4(x - 8) = -32 is x = 16.