Answer :

First add 35 to both sides. Second subtract 2m from both sides. Lastly divide both sides by 5.
Isolate m using inverse operations, get m by itself. (addition and subtraction, mult. and div.)

[tex]7m-35=5+2m\ (subtract\ 2m) \\ 5m-35=5\ (add\ 35) \\ 5m = 40\ (divide\ by\ 40) \\ \boxed{m=8}[/tex]

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