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7(3k+12)=3(-6-8k)-6k
We simplify the equation to the form, which is simple to understand
7(3k+12)=3(-6-8k)-6k
Reorder the terms in parentheses
+(+21k+84)=3*(-6-8k)-6k
Remove unnecessary parentheses
+21k+84=+3+*(-6-8k+)-6k
Reorder the terms in parentheses
+21k+84=+(-18-24k)-6k
Remove unnecessary parentheses
+21k+84=-18-24k-6k
We move all terms containing k to the left and all other terms to the right.
+21k+24k+6k=-18-84
We simplify left and right side of the equation.
+51k=-102
We divide both sides of the equation by 51 to get k.
k=-2
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