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-8(k-2)-6(k-8)=22
We simplify the equation to the form, which is simple to understand
-8(k-2)-6(k-8)=22
Reorder the terms in parentheses
+(-8k+16)-6*(k-8)=22
Remove unnecessary parentheses
-8k+16-6+*(+k-8+)=+22
Reorder the terms in parentheses
-8k+16+(-6k+48)=22
Remove unnecessary parentheses
-8k+16-6k+48=+22
We move all terms containing k to the left and all other terms to the right.
-8k-6k=+22-16-48
We simplify left and right side of the equation.
-14k=-42
We divide both sides of the equation by -14 to get k.
k=3
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