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-6k+6(k+1)=6(k-6)
We simplify the equation to the form, which is simple to understand
-6k+6(k+1)=6(k-6)
Reorder the terms in parentheses
-6k+(+6k+6)=6*(k-6)
Remove unnecessary parentheses
-6k+6k+6=+6+*(+k-6+)
Reorder the terms in parentheses
-6k+6k+6=+(+6k-36)
Remove unnecessary parentheses
-6k+6k+6=+6k-36
We move all terms containing k to the left and all other terms to the right.
-6k+6k-6k=-36-6
We simplify left and right side of the equation.
-6k=-42
We divide both sides of the equation by -6 to get k.
k=7
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