Question

What is the solution of the equation  −4(z + 12) = 36 when solving for z

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution for z in the equation −4(z + 12) = 36, we need to isolate z by simplifying the equation step by step:

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

Simplify:
-4z - 48 = 36

Next, move -48 to the right side by adding 48 to both sides:
-4z = 36 + 48
-4z = 84

Now, divide both sides by -4 to solve for z:
z = 84 / -4
z = -21

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

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation −4(z + 12) = 36 for z, you need to isolate the variable z on one side of the equation. Here's the step-by-step process:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * z - 4 * 12 = 36
-4z - 48 = 36

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

Step 3: Divide both sides of the equation by -4 to solve for z:
(-4z) / -4 = 84 / -4
z = -21

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

Answer 3

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

To solve the equation -4(z + 12) = 36 for z, we need to isolate the variable z on one side of the equation.

Step 1: Begin by distributing the -4 to both terms inside the parentheses:
-4z - 4(12) = 36

Step 2: Simplify the equation:
-4z - 48 = 36

Step 3: To isolate z, we need to get rid of the constant term on the left side by adding 48 to both sides of the equation:
-4z - 48 + 48 = 36 + 48

Simplifying further, we have:
-4z = 84

Step 4: Finally, we divide both sides of the equation by -4 to solve for z:
-4z / -4 = 84 / -4

Simplifying further, we get:
z = -21

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