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7(1+7k)-5(1+2k)=80
We simplify the equation to the form, which is simple to understand
7(1+7k)-5(1+2k)=80
Reorder the terms in parentheses
+(+7+49k)-5*(1+2k)=80
Remove unnecessary parentheses
+7+49k-5+*(+1+2k+)=+80
Reorder the terms in parentheses
+7+49k+(-5-10k)=80
Remove unnecessary parentheses
+7+49k-5-10k=+80
We move all terms containing k to the left and all other terms to the right.
+49k-10k=+80-7+5
We simplify left and right side of the equation.
+39k=+78
We divide both sides of the equation by 39 to get k.
k=2
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