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

1 answer

To solve the equation −4(z + 12) = 36 for z, we can use the following steps:

1. Distribute -4 to each term inside the parentheses:
-4z - 4(12) = 36

2. Simplify the equation:
-4z - 48 = 36

3. Add 48 to both sides of the equation:
-4z = 36 + 48
-4z = 84

4. Divide both sides of the equation by -4:
z = 84 / -4
z = -21

Therefore, the solution for z is -21.