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-6(2n-7)=2n-2(1+5n)
We simplify the equation to the form, which is simple to understand
-6(2n-7)=2n-2(1+5n)
Reorder the terms in parentheses
+(-12n+42)=2n-2*(1+5n)
Remove unnecessary parentheses
-12n+42=+2n-2+*(+1+5n+)
Reorder the terms in parentheses
-12n+42=2n+(-2-10n)
Remove unnecessary parentheses
-12n+42=+2n-2-10n
We move all terms containing n to the left and all other terms to the right.
-12n-2n+10n=-2-42
We simplify left and right side of the equation.
-4n=-44
We divide both sides of the equation by -4 to get n.
n=11
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