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10(40-n)+5n=290
We simplify the equation to the form, which is simple to understand
10(40-n)+5n=290
Reorder the terms in parentheses
+(+400-10n)+5n=290
Remove unnecessary parentheses
+400-10n+5n=+290
We move all terms containing n to the left and all other terms to the right.
-10n+5n=+290-400
We simplify left and right side of the equation.
-5n=-110
We divide both sides of the equation by -5 to get n.
n=22
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