To simplify the expression \(-5 + 34(8h + 12) - 10h\), follow these steps:
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Distribute \(34\) across \((8h + 12)\): \[ 34 \cdot 8h + 34 \cdot 12 = 272h + 408 \]
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Substitute this back into the expression: \[ -5 + 272h + 408 - 10h \]
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Combine like terms:
- Combine the \(h\) terms: \(272h - 10h = 262h\)
- Combine the constant terms: \(-5 + 408 = 403\)
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Putting it all together, we get: \[ 262h + 403 \]
Thus, the simplified expression is: \[ \boxed{262h + 403} \]