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7n-5(9-3n)=3(n+12)-8n
We simplify the equation to the form, which is simple to understand
7n-5(9-3n)=3(n+12)-8n
Reorder the terms in parentheses
7n+(-45+15n)=3*(n+12)-8n
Remove unnecessary parentheses
+7n-45+15n=+3+*(+n+12+)-8n
Reorder the terms in parentheses
7n-45+15n=+(+3n+36)-8n
Remove unnecessary parentheses
+7n-45+15n=+3n+36-8n
We move all terms containing n to the left and all other terms to the right.
+7n+15n-3n+8n=+36+45
We simplify left and right side of the equation.
+27n=+81
We divide both sides of the equation by 27 to get n.
n=3
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