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2m+5=4m-13
We move all terms to the left:
2m+5-(4m-13)=0
We get rid of parentheses
2m-4m+13+5=0
We add all the numbers together, and all the variables
-2m+18=0
We move all terms containing m to the left, all other terms to the right
-2m=-18
m=-18/-2
m=+9
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