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(3m+4)/(6-6m)=2/3
We move all terms to the left:
(3m+4)/(6-6m)-(2/3)=0
Domain of the equation: (6-6m)!=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
-6m!=-6
m!=-6/-6
m!=1
m∈R
(3m+4)/(-6m+6)-(+2/3)=0
We get rid of parentheses
(3m+4)/(-6m+6)-2/3=0
We calculate fractions
(9m+12)/(-18m+18)+(12m-12)/(-18m+18)=0
We multiply all the terms by the denominator
(9m+12)+(12m-12)=0
We get rid of parentheses
9m+12m+12-12=0
We add all the numbers together, and all the variables
21m=0
m=0/21
m=0
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