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8m-14=3m-46
We move all terms to the left:
8m-14-(3m-46)=0
We get rid of parentheses
8m-3m+46-14=0
We add all the numbers together, and all the variables
5m+32=0
We move all terms containing m to the left, all other terms to the right
5m=-32
m=-32/5
m=-6+2/5
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