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5(k-8)=-38+7k
We move all terms to the left:
5(k-8)-(-38+7k)=0
We add all the numbers together, and all the variables
5(k-8)-(7k-38)=0
We multiply parentheses
5k-(7k-38)-40=0
We get rid of parentheses
5k-7k+38-40=0
We add all the numbers together, and all the variables
-2k-2=0
We move all terms containing k to the left, all other terms to the right
-2k=2
k=2/-2
k=-1
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