To simplify the expression \( 10(-b + 3b - 5) - 8b \), we follow these steps:
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Combine like terms inside the parentheses: \(-b + 3b - 5 = 2b - 5\)
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Distribute the 10: \(10(2b - 5) = 20b - 50\)
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Combine with the \(-8b\): \(20b - 50 - 8b = (20b - 8b) - 50 = 12b - 50\)
So the simplified expression is: \[ 12b - 50 \]