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