Solve for m.

Question

1/4(8m+12)−7=−2

(1 point)
Responses

m=−3
m is equal to negative 3

m=11
m is equal to 11

m=1
m is equal to 1

m = −7/8

Answer 1

To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), follow these steps:

1. Distribute \( \frac{1}{4} \) on the left side: \[ \frac{1}{4}(8m) + \frac{1}{4}(12) - 7 = -2 \] This simplifies to: \[ 2m + 3 - 7 = -2 \]

2. Combine the constants: \[ 2m - 4 = -2 \]

3. Add 4 to both sides: \[ 2m = -2 + 4 \] So: \[ 2m = 2 \]

4. Divide both sides by 2: \[ m = 1 \]

Thus, the solution is \( m = 1 \).

The correct response is:

• m=1
• m is equal to 1