Equations with Parentheses Quick Check

Question

5 of 55 of 5 Items
Question
What is the solution of the equation −4(z + 12) = 36
when solving for z
? (1 point)
Responses

24
24

−6
negative 6

−21
negative 21

21

Answer 1

To solve the equation −4(z + 12) = 36 for z, you need to first distribute the -4 to both terms inside the parentheses:

-4z - 48 = 36

Next, add 48 to both sides to isolate the variable:

-4z = 84

Finally, divide both sides by -4 to solve for z:

z = -21

Therefore, the solution is z = -21.

The correct response is:

-21