To solve the equation \( 5m - 7 = 3 \), follow these steps:
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Add 7 to both sides of the equation:
\[ 5m - 7 + 7 = 3 + 7 \]
This simplifies to:
\[ 5m = 10 \]
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Next, divide both sides by 5:
\[ m = \frac{10}{5} \]
This simplifies to:
\[ m = 2 \]
So the solution is \( m = 2 \).