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(1)/(2)(10+12n)=(1)/(3)(15n+5)
We move all terms to the left:
(1)/(2)(10+12n)-((1)/(3)(15n+5))=0
Domain of the equation: 2(10+12n)!=0
n∈R
Domain of the equation: 3(15n+5))!=0We add all the numbers together, and all the variables
n∈R
1/2(12n+10)-(1/3(15n+5))=0
We calculate fractions
(3n1/(2(12n+10)*3(15n+5)))+(-2n1/(2(12n+10)*3(15n+5)))=0
We calculate terms in parentheses: +(3n1/(2(12n+10)*3(15n+5))), so:
3n1/(2(12n+10)*3(15n+5))
We multiply all the terms by the denominator
3n1
We add all the numbers together, and all the variables
3n
Back to the equation:
+(3n)
We calculate terms in parentheses: +(-2n1/(2(12n+10)*3(15n+5))), so:We get rid of parentheses
-2n1/(2(12n+10)*3(15n+5))
We multiply all the terms by the denominator
-2n1
We add all the numbers together, and all the variables
-2n
Back to the equation:
+(-2n)
3n-2n=0
We add all the numbers together, and all the variables
n=0
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