To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), follow these steps:
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Distribute \( \frac{1}{4} \) on the left side: \[ \frac{1}{4}(8m) + \frac{1}{4}(12) - 7 = -2 \] This simplifies to: \[ 2m + 3 - 7 = -2 \]
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Combine the constants: \[ 2m - 4 = -2 \]
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Add 4 to both sides: \[ 2m = -2 + 4 \] So: \[ 2m = 2 \]
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Divide both sides by 2: \[ m = 1 \]
Thus, the solution is \( m = 1 \).
The correct response is:
- m=1
- m is equal to 1