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

Answer 1

To find the solution for z in the equation −4(z + 12) = 36, we need to isolate z by simplifying the equation step by step:

First, distribute -4 to z and 12:
-4z - 4(12) = 36

Simplify:
-4z - 48 = 36

Next, move -48 to the right side by adding 48 to both sides:
-4z = 36 + 48
-4z = 84

Now, divide both sides by -4 to solve for z:
z = 84 / -4
z = -21

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