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2(3k+7)+12(2+k)=-16
We simplify the equation to the form, which is simple to understand
2(3k+7)+12(2+k)=-16
Reorder the terms in parentheses
+(+6k+14)+12*(2+k)=-16
Remove unnecessary parentheses
+6k+14+12+*(+2+k+)=-16
Reorder the terms in parentheses
+6k+14+(+24+12k)=-16
Remove unnecessary parentheses
+6k+14+24+12k=-16
We move all terms containing k to the left and all other terms to the right.
+6k+12k=-16-14-24
We simplify left and right side of the equation.
+18k=-54
We divide both sides of the equation by 18 to get k.
k=-3
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