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9/m+4=10/m-8
We move all terms to the left:
9/m+4-(10/m-8)=0
Domain of the equation: m!=0
m∈R
Domain of the equation: m-8)!=0We get rid of parentheses
m∈R
9/m-10/m+8+4=0
We multiply all the terms by the denominator
8*m+4*m+9-10=0
We add all the numbers together, and all the variables
12m-1=0
We move all terms containing m to the left, all other terms to the right
12m=1
m=1/12
m=1/12
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