To simplify the expression \( 15 - 6(2m + 1) - 34 + 4m \), follow these steps:
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Distribute the \(-6\) into \((2m + 1)\): \[ -6(2m) - 6(1) = -12m - 6 \]
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Substitute this back into the expression: \[ 15 - 12m - 6 - 34 + 4m \]
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Combine like terms. First, combine the constant terms: \[ 15 - 6 - 34 = -25 \]
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Now combine the \(m\) terms: \[ -12m + 4m = -8m \]
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Putting it all together, the simplified expression is: \[ -8m - 25 \]
Thus, the final answer is: \[ -8m - 25 \]