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3(k+4)=-6(3k+5)
We simplify the equation to the form, which is simple to understand
3(k+4)=-6(3k+5)
Reorder the terms in parentheses
+(+3k+12)=-6*(3k+5)
Remove unnecessary parentheses
+3k+12=-6+*(+3k+5+)
Reorder the terms in parentheses
+3k+12=+(-18k-30)
Remove unnecessary parentheses
+3k+12=-18k-30
We move all terms containing k to the left and all other terms to the right.
+3k+18k=-30-12
We simplify left and right side of the equation.
+21k=-42
We divide both sides of the equation by 21 to get k.
k=-2
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