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

Question

when solving for z
? (1 point)
Responses

24
24

−21
negative 21

−6
negative 6

21

Answer 1

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

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

2. Now, subtract 12 from both sides: \[ z = -9 - 12 \] This simplifies to: \[ z = -21 \]

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

The correct response is: \(-21\) (negative 21)