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3m+4=5m-12
We move all terms to the left:
3m+4-(5m-12)=0
We get rid of parentheses
3m-5m+12+4=0
We add all the numbers together, and all the variables
-2m+16=0
We move all terms containing m to the left, all other terms to the right
-2m=-16
m=-16/-2
m=+8
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