To simplify the expression \(-4(10u - 3) + 7u\), follow these steps:
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Distribute \(-4\) to both terms inside the parentheses: \[ -4 \cdot 10u + (-4) \cdot (-3) = -40u + 12 \]
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Now, add \(7u\) to the result: \[ -40u + 12 + 7u \]
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Combine like terms: \[ (-40u + 7u) + 12 = -33u + 12 \]
So, the simplified expression is: \[ -33u + 12 \]