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4(5n-7)=10n+22
We simplify the equation to the form, which is simple to understand
4(5n-7)=10n+22
Reorder the terms in parentheses
+(+20n-28)=10n+22
Remove unnecessary parentheses
+20n-28=+10n+22
We move all terms containing n to the left and all other terms to the right.
+20n-10n=+22+28
We simplify left and right side of the equation.
+10n=+50
We divide both sides of the equation by 10 to get n.
n=5
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