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7m-3=4m+3
We move all terms to the left:
7m-3-(4m+3)=0
We get rid of parentheses
7m-4m-3-3=0
We add all the numbers together, and all the variables
3m-6=0
We move all terms containing m to the left, all other terms to the right
3m=6
m=6/3
m=2
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