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-3(n-9)=4(n+5)-7
We simplify the equation to the form, which is simple to understand
-3(n-9)=4(n+5)-7
Reorder the terms in parentheses
+(-3n+27)=4*(n+5)-7
Remove unnecessary parentheses
-3n+27=+4+*(+n+5+)-7
Reorder the terms in parentheses
-3n+27=+(+4n+20)-7
Remove unnecessary parentheses
-3n+27=+4n+20-7
We move all terms containing n to the left and all other terms to the right.
-3n-4n=+20-7-27
We simplify left and right side of the equation.
-7n=-14
We divide both sides of the equation by -7 to get n.
n=2
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