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6(-7+n)=-120
We simplify the equation to the form, which is simple to understand
6(-7+n)=-120
Reorder the terms in parentheses
+(-42+6n)=-120
Remove unnecessary parentheses
-42+6n=-120
We move all terms containing n to the left and all other terms to the right.
+6n=-120+42
We simplify left and right side of the equation.
+6n=-78
We divide both sides of the equation by 6 to get n.
n=-13
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