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5(m+3)=2m+12
We move all terms to the left:
5(m+3)-(2m+12)=0
We multiply parentheses
5m-(2m+12)+15=0
We get rid of parentheses
5m-2m-12+15=0
We add all the numbers together, and all the variables
3m+3=0
We move all terms containing m to the left, all other terms to the right
3m=-3
m=-3/3
m=-1
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