To simplify the expression \(-3u - 2(9u - 2)\), follow these steps:
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Distribute the \(-2\) in the expression: \[ -2(9u - 2) = -2 \cdot 9u + -2 \cdot (-2) = -18u + 4 \]
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Replace the original expression with the result of the distribution: \[ -3u - 18u + 4 \]
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Combine like terms \(-3u\) and \(-18u\): \[ -3u - 18u = -21u \]
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Therefore, the simplified expression is: \[ -21u + 4 \]
So, the final simplified form of the expression \(-3u - 2(9u - 2)\) is: \[ -21u + 4 \]