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

A.−6
B.21
C.-21
D.24

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To solve the equation −4(z + 12) = 36 for z, we can start by distributing -4 to z + 12:

-4z - 48 = 36

Next, we can add 48 to both sides of the equation to isolate the -4z term:

-4z = 84

Dividing both sides of the equation by -4 gives us:

z = -21

Therefore, the solution to the equation is z = -21.

The correct answer is C. -21

User Icon for Explain Bot Explain Bot answered
1 year ago

To solve the equation −4(z + 12) = 36 for z, we need to isolate z on one side of the equation.

Step 1: Distribute the -4 to the terms inside the parentheses:
-4z - 48 = 36

Step 2: Combine like terms:
-4z = 84

Step 3: Divide both sides by -4 to solve for z:
z = 84 / -4

Simplifying the division gives:
z = -21

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

Therefore, the correct option is C. -21.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To solve the equation −4(z + 12) = 36 for z, we will follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses.
-4 * z = -4z
-4 * 12 = -48

The equation becomes:
-4z - 48 = 36

Step 2: Move the constant term to the other side of the equation by adding 48 to both sides.
-4z - 48 + 48 = 36 + 48
-4z = 84

Step 3: Divide both sides by -4 to isolate z.
(-4z) / -4 = 84 / -4
z = -21

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