To simplify the expression \(-5 + \frac{3}{4}(8h + 12) - 10\), follow these steps:
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Distribute \(\frac{3}{4}\) to both terms inside the parentheses: \[ \frac{3}{4}(8h) + \frac{3}{4}(12) = 6h + 9 \]
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Substitute this back into the original expression: \[ -5 + 6h + 9 - 10 \]
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Combine the constant terms \(-5 + 9 - 10\): \[ -5 + 9 = 4 \] \[ 4 - 10 = -6 \]
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Put everything together: \[ 6h - 6 \]
The simplified expression is: \[ 6h - 6 \]