Solve for m.

Question

1/4(8m+12)−7=−2


(1 point)
Responses

m=−3

m=1

m=11

m = −7/8

Answer 1

To solve for \( m \) in the equation

\[ \frac{1}{4}(8m + 12) - 7 = -2, \]

first, we'll isolate the term with \( m \). Begin by adding 7 to both sides:

\[ \frac{1}{4}(8m + 12) = -2 + 7, \]

which simplifies to

\[ \frac{1}{4}(8m + 12) = 5. \]

Next, multiply both sides by 4 to eliminate the fraction:

\[ 8m + 12 = 20. \]

Now, subtract 12 from both sides:

\[ 8m = 20 - 12, \]

which simplifies to

\[ 8m = 8. \]

Now, divide by 8:

\[ m = 1. \]

Thus, the solution is

\[ \boxed{1}. \]