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2m-6=4m-8
We move all terms to the left:
2m-6-(4m-8)=0
We get rid of parentheses
2m-4m+8-6=0
We add all the numbers together, and all the variables
-2m+2=0
We move all terms containing m to the left, all other terms to the right
-2m=-2
m=-2/-2
m=1
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