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To add 2m/7 and 3m/14 you must make sure that their denominators are the same. To do this you must rewrite 2m/7 as 4m/14. They are both equal.

4m/14 + 3m/14 = 1

Add like terms.
7m/14 = 1

Multiply by 14 on both sides.
7m = 14

Divide by 7 on both sides.
m = 2

m = 2