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8/3m-2=2/3m-12
We move all terms to the left:
8/3m-2-(2/3m-12)=0
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
Domain of the equation: 3m-12)!=0We get rid of parentheses
m∈R
8/3m-2/3m+12-2=0
We multiply all the terms by the denominator
12*3m-2*3m+8-2=0
We add all the numbers together, and all the variables
12*3m-2*3m+6=0
Wy multiply elements
36m-6m+6=0
We add all the numbers together, and all the variables
30m+6=0
We move all terms containing m to the left, all other terms to the right
30m=-6
m=-6/30
m=-1/5
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