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4m-7m=-6/7
We move all terms to the left:
4m-7m-(-6/7)=0
We add all the numbers together, and all the variables
-3m-(-6/7)=0
We get rid of parentheses
-3m+6/7=0
We multiply all the terms by the denominator
-3m*7+6=0
Wy multiply elements
-21m+6=0
We move all terms containing m to the left, all other terms to the right
-21m=-6
m=-6/-21
m=2/7
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