To simplify the expression \( 2(4u + 1) - 5 \), follow these steps:
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Distribute the 2 into the parentheses: \[ 2 \times 4u + 2 \times 1 = 8u + 2 \]
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Now, subtract 5 from the result: \[ 8u + 2 - 5 \]
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Combine the constants: \[ 8u + (2 - 5) = 8u - 3 \]
So, the simplified expression is: \[ \boxed{8u - 3} \]