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6/m-2=8/m+10
We move all terms to the left:
6/m-2-(8/m+10)=0
Domain of the equation: m!=0
m∈R
Domain of the equation: m+10)!=0We get rid of parentheses
m∈R
6/m-8/m-10-2=0
We multiply all the terms by the denominator
-10*m-2*m+6-8=0
We add all the numbers together, and all the variables
-12m-2=0
We move all terms containing m to the left, all other terms to the right
-12m=2
m=2/-12
m=-1/6
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