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]

The solution to the equation −4(z + 12) = 36 when solving for z is −6 or negative 6.

Answer 2

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

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

Let's start by distributing -4 to the terms inside the parentheses:

-4z - 48 = 36

Next, let's add 48 to both sides of the equation to get rid of the -48 on the left side:

-4z - 48 + 48 = 36 + 48

Simplifying the equation gives us:

-4z = 84

To isolate z, we divide both sides of the equation by -4:

-4z / -4 = 84 / -4

This simplifies to:

z = -21

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

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation −4(z + 12) = 36 for z, we need to follow these steps:

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

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

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

So, the solution for z in the given equation is -21.