To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), you can follow these steps in order:
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Add 7 to both sides of the equation to isolate the term with \( m \): \[ \frac{1}{4}(8m + 12) = -2 + 7 \] \[ \frac{1}{4}(8m + 12) = 5 \]
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Multiply both sides by 4 to eliminate the fraction: \[ 8m + 12 = 20 \]
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Subtract 12 from both sides to further isolate the term with \( m \): \[ 8m = 20 - 12 \] \[ 8m = 8 \]
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Divide both sides by 8 to solve for \( m \): \[ m = \frac{8}{8} \] \[ m = 1 \]
So, the order of the steps is:
- Add 7 to both sides.
- Multiply both sides by 4.
- Subtract 12 from both sides.
- Divide both sides by 8.
Final answer: \( m = 1 \).
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