To simplify the expression \(-4 ( u + 6 ) - u\), follow these steps:
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Distribute \(-4\) to both \(u\) and \(6\): \[ -4 \cdot u - 4 \cdot 6 = -4u - 24 \]
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Now, substitute this back into the expression: \[ -4u - 24 - u \]
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Combine like terms (\(-4u\) and \(-u\)): \[ -4u - u = -5u \]
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Thus, the simplified expression is: \[ -5u - 24 \]
So, the final answer is: \[ -5u - 24 \]