To simplify the expression \((20m + 3) - (7m - 5)\), follow these steps:
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Distribute the negative sign in front of the second parentheses: \[ (20m + 3) - 7m + 5 \]
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Combine like terms:
- For the \(m\) terms: \(20m - 7m = 13m\)
- For the constants: \(3 + 5 = 8\)
So, the final result is: \[ 13m + 8 \]