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5-9(1+9n)=12+8(1-10n)
We simplify the equation to the form, which is simple to understand
5-9(1+9n)=12+8(1-10n)
Reorder the terms in parentheses
5+(-9-81n)=12+8*(1-10n)
Remove unnecessary parentheses
+5-9-81n=+12+8+*(+1-10n+)
Reorder the terms in parentheses
5-9-81n=12+(+8-80n)
Remove unnecessary parentheses
+5-9-81n=+12+8-80n
We move all terms containing n to the left and all other terms to the right.
-81n+80n=+12+8-5+9
We simplify left and right side of the equation.
-1n=+24
We divide both sides of the equation by -1 to get n.
n=-24
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