What is the solution of the equation −4(z + 12) = 36 when solving for z ? (1 point)Responses
To solve the equation, we have to isolate z.
−4(z + 12) = 36
First, we distribute the -4 across the parentheses:
-4z - 48 = 36
Next, we add 48 to both sides of the equation to move the constant term to the right side:
-4z = 84
Next, we divide both sides of the equation by -4 to solve for z:
z = -21
Therefore, the solution to the equation -4(z + 12) = 36 is z = -21.
To solve the equation −4(z + 12) = 36 for z, we need to isolate the variable z on one side of the equation.
Step 1: Distribute the -4 to the terms inside the parentheses.
-4 * z - 4 * 12 = 36
Simplifying further:
-4z - 48 = 36
Step 2: Add 48 to both sides of the equation to eliminate the constant term.
-4z - 48 + 48 = 36 + 48
Simplifying further:
-4z = 84
Step 3: Divide both sides of the equation by -4 to isolate z.
-4z / -4 = 84 / -4
Simplifying further:
z = -21
Therefore, the solution to the equation −4(z + 12) = 36 for z is z = -21.
To solve the equation −4(z + 12) = 36 for z, follow these steps:
Step 1: Distribute (or multiply) -4 to z and 12:
-4z - 4(12) = 36
Step 2: Simplify the equation:
-4z - 48 = 36
Step 3: Move -48 to the other side of the equation by adding 48 to both sides:
-4z = 36 + 48
Step 4: Simplify the right side of the equation:
-4z = 84
Step 5: Divide both sides of the equation by -4 to solve for z:
z = 84 / -4
Step 6: Simplify the right side of the equation:
z = -21
Therefore, the solution to the equation is z = -21.