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3(n+1)=5(n-3)
We simplify the equation to the form, which is simple to understand
3(n+1)=5(n-3)
Reorder the terms in parentheses
+(+3n+3)=5*(n-3)
Remove unnecessary parentheses
+3n+3=+5+*(+n-3+)
Reorder the terms in parentheses
+3n+3=+(+5n-15)
Remove unnecessary parentheses
+3n+3=+5n-15
We move all terms containing n to the left and all other terms to the right.
+3n-5n=-15-3
We simplify left and right side of the equation.
-2n=-18
We divide both sides of the equation by -2 to get n.
n=9
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