Bot GPT 4-o mini To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), follow these steps:
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Distribute the terms: \[ 6(3q - 4) = 18q - 24 \] \[ -7(4q + 5) = -28q - 35 \]
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Substitute these results back into the expression: \[ 18q - 24 + 18 - 12q - 28q - 35 \]
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Combine like terms. First, combine the \( q \) terms: \[ 18q - 12q - 28q = (18 - 12 - 28)q = -22q \]
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Then combine the constant terms: \[ -24 + 18 - 35 = -24 + 18 - 35 = -6 - 35 = -41 \]
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Putting it all together, the simplified expression is: \[ -22q - 41 \]
Thus, the simplified expression is:
\[ \boxed{-22q - 41} \]
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