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

Question

when solving for z
? (1 point)
Responses

−6
negative 6

21
21

24
24

−21

Answer 1

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

1. Start with the original equation: \[ -4(z + 12) = 36 \]

2. Divide both sides by -4 to isolate \(z + 12\): \[ z + 12 = \frac{36}{-4} \] \[ z + 12 = -9 \]

3. Subtract 12 from both sides to solve for \(z\): \[ z = -9 - 12 \] \[ z = -21 \]

Thus, the solution for \(z\) is \(-21\).

The correct response is: \(-21\)