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2n-6n=5(7n-9)-6(8n-6)
We simplify the equation to the form, which is simple to understand
2n-6n=5(7n-9)-6(8n-6)
Reorder the terms in parentheses
2n-6n=+(+35n-45)-6*(8n-6)
Remove unnecessary parentheses
+2n-6n=+35n-45-6+*(+8n-6+)
Reorder the terms in parentheses
2n-6n=+35n-45+(-48n+36)
Remove unnecessary parentheses
+2n-6n=+35n-45-48n+36
We move all terms containing n to the left and all other terms to the right.
+2n-6n-35n+48n=-45+36
We simplify left and right side of the equation.
+9n=-9
We divide both sides of the equation by 9 to get n.
n=-1
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