What is the solution of the equation −4(z + 12) = 36 when solving for z? (1 point)

Question

Responses

21
21

−21
negative 21

24
24

−6

Answer 1

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

1. Divide both sides by \(-4\) to isolate the term with \(z\): \[ z + 12 = \frac{36}{-4} \] This simplifies to: \[ z + 12 = -9 \]

2. Next, subtract 12 from both sides to solve for \(z\): \[ z = -9 - 12 \] This simplifies to: \[ z = -21 \]

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

The correct response is: −21