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-3n+n=5(n-4)-2(n-5)
We simplify the equation to the form, which is simple to understand
-3n+n=5(n-4)-2(n-5)
Reorder the terms in parentheses
-3n+n=+(+5n-20)-2*(n-5)
Remove unnecessary parentheses
-3n+n=+5n-20-2+*(+n-5+)
Reorder the terms in parentheses
-3n+n=+5n-20+(-2n+10)
Remove unnecessary parentheses
-3n+n=+5n-20-2n+10
We move all terms containing n to the left and all other terms to the right.
-3n+1n-5n+2n=-20+10
We simplify left and right side of the equation.
-5n=-10
We divide both sides of the equation by -5 to get n.
n=2
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