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14m+7m=24
Multiply both sides of the equation by 28, the least common multiple of 2,4,7.
21m=24
Combine 14m and 7m to get 21m.
m=\frac{24}{21}
Divide both sides by 21.
m=\frac{8}{7}
Reduce the fraction \frac{24}{21} to lowest terms by extracting and canceling out 3.