-2(k-8)=12(k+6)

Solution for -2(k-8)=12(k+6) equation:

-2(k-8)=12(k+6)

We simplify the equation to the form, which is simple to understand 
-2(k-8)=12(k+6)

Reorder the terms in parentheses
+(-2k+16)=12*(k+6)

Remove unnecessary parentheses
-2k+16=+12+*(+k+6+)

Reorder the terms in parentheses
-2k+16=+(+12k+72)

Remove unnecessary parentheses
-2k+16=+12k+72

We move all terms containing k to the left and all other terms to the right. 
-2k-12k=+72-16

We simplify left and right side of the equation. 
-14k=+56

We divide both sides of the equation by -14 to get k. 
k=-4