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-4k+5(k-4)=-32+3k
We move all terms to the left:
-4k+5(k-4)-(-32+3k)=0
We add all the numbers together, and all the variables
-4k+5(k-4)-(3k-32)=0
We multiply parentheses
-4k+5k-(3k-32)-20=0
We get rid of parentheses
-4k+5k-3k+32-20=0
We add all the numbers together, and all the variables
-2k+12=0
We move all terms containing k to the left, all other terms to the right
-2k=-12
k=-12/-2
k=+6
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