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3m+7=-2m-8
We move all terms to the left:
3m+7-(-2m-8)=0
We get rid of parentheses
3m+2m+8+7=0
We add all the numbers together, and all the variables
5m+15=0
We move all terms containing m to the left, all other terms to the right
5m=-15
m=-15/5
m=-3
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