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2(2m+1)+2m=3m-7
We move all terms to the left:
2(2m+1)+2m-(3m-7)=0
We add all the numbers together, and all the variables
2m+2(2m+1)-(3m-7)=0
We multiply parentheses
2m+4m-(3m-7)+2=0
We get rid of parentheses
2m+4m-3m+7+2=0
We add all the numbers together, and all the variables
3m+9=0
We move all terms containing m to the left, all other terms to the right
3m=-9
m=-9/3
m=-3
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