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7(-n+6)=-3(3n-6)+4n
We simplify the equation to the form, which is simple to understand
7(-n+6)=-3(3n-6)+4n
Reorder the terms in parentheses
+(-7n+42)=-3*(3n-6)+4n
Remove unnecessary parentheses
-7n+42=-3+*(+3n-6+)+4n
Reorder the terms in parentheses
-7n+42=+(-9n+18)+4n
Remove unnecessary parentheses
-7n+42=-9n+18+4n
We move all terms containing n to the left and all other terms to the right.
-7n+9n-4n=+18-42
We simplify left and right side of the equation.
-2n=-24
We divide both sides of the equation by -2 to get n.
n=12
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