To simplify the expression \((9m - 3) - (2m + 12)\), follow these steps:
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Distribute the negative sign across the second parentheses: \[ 9m - 3 - 2m - 12 \]
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Combine like terms:
- Combine the \(m\) terms: \(9m - 2m = 7m\)
- Combine the constant terms: \(-3 - 12 = -15\)
Putting it all together, we get: \[ 7m - 15 \]
So, the simplified expression is: \[ \boxed{7m - 15} \]