Question

correctly select the order of the steps to solve this equation

1/4(8m + 12) - 7 = -2

Answer 1

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

1. **Add 7 to both sides of the equation** to isolate the term with \( m \):
\[
\frac{1}{4}(8m + 12) = -2 + 7
\]
\[
\frac{1}{4}(8m + 12) = 5
\]

2. **Multiply both sides by 4** to eliminate the fraction:
\[
8m + 12 = 20
\]

3. **Subtract 12 from both sides** to further isolate the term with \( m \):
\[
8m = 20 - 12
\]
\[
8m = 8
\]

4. **Divide both sides by 8** to solve for \( m \):
\[
m = \frac{8}{8}
\]
\[
m = 1
\]

So, the order of the steps is:
1. Add 7 to both sides.
2. Multiply both sides by 4.
3. Subtract 12 from both sides.
4. Divide both sides by 8.

Final answer: \( m = 1 \).

Answer 2

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