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-2m-9=6m+15
We move all terms to the left:
-2m-9-(6m+15)=0
We get rid of parentheses
-2m-6m-15-9=0
We add all the numbers together, and all the variables
-8m-24=0
We move all terms containing m to the left, all other terms to the right
-8m=24
m=24/-8
m=-3
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