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-5(6+k)+7k=-k+2(6k-6)
We simplify the equation to the form, which is simple to understand
-5(6+k)+7k=-k+2(6k-6)
Reorder the terms in parentheses
+(-30-5k)+7k=-k+2*(6k-6)
Remove unnecessary parentheses
-30-5k+7k=-k+2+*(+6k-6+)
Reorder the terms in parentheses
-30-5k+7k=-k+(+12k-12)
Remove unnecessary parentheses
-30-5k+7k=-k+12k-12
We move all terms containing k to the left and all other terms to the right.
-5k+7k+1k-12k=-12+30
We simplify left and right side of the equation.
-9k=+18
We divide both sides of the equation by -9 to get k.
k=-2
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