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

Question

when solving for z
? (1 point)
Responses

−21
negative 21

24
24

21
21

−6

Answer 1

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

1. Start by dividing both sides by \(-4\):

   \[ z + 12 = \frac{36}{-4} \]

   This simplifies to:

   \[ z + 12 = -9 \]

2. Next, subtract \(12\) from both sides to isolate \(z\):

   \[ z = -9 - 12 \]

   This simplifies to:

   \[ z = -21 \]

So, the solution is \(-21\).

The correct response is: −21