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7(4n-4)+2(n-5)=52
We simplify the equation to the form, which is simple to understand
7(4n-4)+2(n-5)=52
Reorder the terms in parentheses
+(+28n-28)+2*(n-5)=52
Remove unnecessary parentheses
+28n-28+2+*(+n-5+)=+52
Reorder the terms in parentheses
+28n-28+(+2n-10)=52
Remove unnecessary parentheses
+28n-28+2n-10=+52
We move all terms containing n to the left and all other terms to the right.
+28n+2n=+52+28+10
We simplify left and right side of the equation.
+30n=+90
We divide both sides of the equation by 30 to get n.
n=3
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