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2(k-10)+5(5k+8)=k+6k
We move all terms to the left:
2(k-10)+5(5k+8)-(k+6k)=0
We add all the numbers together, and all the variables
2(k-10)+5(5k+8)-(+7k)=0
We multiply parentheses
2k+25k-(+7k)-20+40=0
We get rid of parentheses
2k+25k-7k-20+40=0
We add all the numbers together, and all the variables
20k+20=0
We move all terms containing k to the left, all other terms to the right
20k=-20
k=-20/20
k=-1
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