Question

Solve for m.

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