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2m/(3-4m)=5
We move all terms to the left:
2m/(3-4m)-(5)=0
Domain of the equation: (3-4m)!=0We add all the numbers together, and all the variables
We move all terms containing m to the left, all other terms to the right
-4m!=-3
m!=-3/-4
m!=3/4
m∈R
2m/(-4m+3)-5=0
We multiply all the terms by the denominator
2m-5*(-4m+3)=0
We multiply parentheses
2m+20m-15=0
We add all the numbers together, and all the variables
22m-15=0
We move all terms containing m to the left, all other terms to the right
22m=15
m=15/22
m=15/22
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