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7(k+9)=9(k-5)-14
We simplify the equation to the form, which is simple to understand
7(k+9)=9(k-5)-14
Reorder the terms in parentheses
+(+7k+63)=9*(k-5)-14
Remove unnecessary parentheses
+7k+63=+9+*(+k-5+)-14
Reorder the terms in parentheses
+7k+63=+(+9k-45)-14
Remove unnecessary parentheses
+7k+63=+9k-45-14
We move all terms containing k to the left and all other terms to the right.
+7k-9k=-45-14-63
We simplify left and right side of the equation.
-2k=-122
We divide both sides of the equation by -2 to get k.
k=61
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