# How do you solve #m/8=(m+7)/9#?

This value is the solution if you substitute it into the equation and both sides come out equal.

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To solve the equation ( \frac{m}{8} = \frac{m+7}{9} ), you would first cross multiply to eliminate the denominators. Then, solve for ( m ). The steps are:

- Multiply both sides by ( 8 ) to eliminate the denominator in the first fraction: ( 8 \cdot \frac{m}{8} = 8 \cdot \frac{m+7}{9} ).
- Simplify both sides: ( m = \frac{8(m+7)}{9} ).
- Multiply both sides by ( 9 ) to eliminate the denominator in the second fraction: ( 9m = 8(m+7) ).
- Distribute ( 8 ) on the right side: ( 9m = 8m + 56 ).
- Subtract ( 8m ) from both sides: ( m = 56 ).

The solution is ( m = 56 ).

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