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15=2m-7
We move all terms to the left:
15-(2m-7)=0
We get rid of parentheses
-2m+7+15=0
We add all the numbers together, and all the variables
-2m+22=0
We move all terms containing m to the left, all other terms to the right
-2m=-22
m=-22/-2
m=+11
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