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6m-2=m+8
We move all terms to the left:
6m-2-(m+8)=0
We get rid of parentheses
6m-m-8-2=0
We add all the numbers together, and all the variables
5m-10=0
We move all terms containing m to the left, all other terms to the right
5m=10
m=10/5
m=2
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