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

1 answer

First, we need to simplify the equation:

−4(z + 12) = 36
Distribute -4 across the parentheses:
-4z - 48 = 36

Next, let's isolate the variable z by adding 48 to both sides of the equation:

-4z - 48 + 48 = 36 + 48
-4z = 84

Then, divide both sides of the equation by -4 to solve for z:

-4z/-4 = 84/-4
z = -21

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