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3m+6.5=4.6m-7.74
We move all terms to the left:
3m+6.5-(4.6m-7.74)=0
We get rid of parentheses
3m-4.6m+7.74+6.5=0
We add all the numbers together, and all the variables
-1.6m+14.24=0
We move all terms containing m to the left, all other terms to the right
-1.6m=-14.24
m=-14.24/-1.6
m=8+1/1.1111111111111
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