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10/3n-5/2n=5/3n=
We move all terms to the left:
10/3n-5/2n-(5/3n)=0
Domain of the equation: 3n!=0
n!=0/3
n!=0
n∈R
Domain of the equation: 2n!=0
n!=0/2
n!=0
n∈R
Domain of the equation: 3n)!=0We add all the numbers together, and all the variables
n!=0/1
n!=0
n∈R
10/3n-5/2n-(+5/3n)=0
We get rid of parentheses
10/3n-5/2n-5/3n=0
We calculate fractions
(-10n+10)/6n^2+(-15n)/6n^2=0
We multiply all the terms by the denominator
(-10n+10)+(-15n)=0
We get rid of parentheses
-10n-15n+10=0
We add all the numbers together, and all the variables
-25n+10=0
We move all terms containing n to the left, all other terms to the right
-25n=-10
n=-10/-25
n=2/5
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