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10(3n+4)+5(n)=215
We simplify the equation to the form, which is simple to understand
10(3n+4)+5(n)=215
Reorder the terms in parentheses
+(+30n+40)+5*(n)=215
Remove unnecessary parentheses
+30n+40+5+*(+n+)=+215
Reorder the terms in parentheses
+30n+40+(+5n)=215
Remove unnecessary parentheses
+30n+40+5n=+215
We move all terms containing n to the left and all other terms to the right.
+30n+5n=+215-40
We simplify left and right side of the equation.
+35n=+175
We divide both sides of the equation by 35 to get n.
n=5
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