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5m+7=10m-3
We move all terms to the left:
5m+7-(10m-3)=0
We get rid of parentheses
5m-10m+3+7=0
We add all the numbers together, and all the variables
-5m+10=0
We move all terms containing m to the left, all other terms to the right
-5m=-10
m=-10/-5
m=+2
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