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8(7-k)+12(3+2k)=12
We simplify the equation to the form, which is simple to understand
8(7-k)+12(3+2k)=12
Reorder the terms in parentheses
+(+56-8k)+12*(3+2k)=12
Remove unnecessary parentheses
+56-8k+12+*(+3+2k+)=+12
Reorder the terms in parentheses
+56-8k+(+36+24k)=12
Remove unnecessary parentheses
+56-8k+36+24k=+12
We move all terms containing k to the left and all other terms to the right.
-8k+24k=+12-56-36
We simplify left and right side of the equation.
+16k=-80
We divide both sides of the equation by 16 to get k.
k=-5
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