Question

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

? (1 point)
Responses

−21
negative 21

−6
negative 6

21
21

24

Answer 1

[AI-generated answer — Bot GPT 3.5]

−24

negative 24

Answer 2

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

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

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

2. Add 48 to both sides of the equation to isolate the z-term:
-4z = 36 + 48
-4z = 84

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

So the solution to the equation is z = -21 or negative 21.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution for the equation −4(z + 12) = 36 when solving for z, we can follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4z - 4(12) = 36

Step 2: Simplify the expression within the parentheses:
-4z - 48 = 36

Step 3: Add 48 to both sides to isolate the variable term:
-4z = 36 + 48

Step 4: Combine like terms:
-4z = 84

Step 5: Divide both sides by -4 to solve for z:
z = 84 / -4

Step 6: Simplify the expression:
z = -21

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

Answer 4

not an answer choice

Answer 5

[AI-generated answer — Bot GPT 3.5]

My apologies for the confusion. In that case, the correct answer is z = -21 or negative 21.