To simplify the expression \(-5 + 3 - 4(8h + 12) - 10h\), follow these steps:
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Distribute \(-4\) to both terms inside the parentheses: \[ -4(8h) + -4(12) = -32h - 48 \]
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Substitute this back into the expression: \[ -5 + 3 - 32h - 48 - 10h \]
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Combine the constant terms: \[ -5 + 3 - 48 = -50 \]
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Combine the \(h\) terms: \[ -32h - 10h = -42h \]
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Put everything together: \[ -50 - 42h \]
So the simplified expression is: \[ -42h - 50 \]