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-11(k-9)-5(8+11k)=k-8k
We move all terms to the left:
-11(k-9)-5(8+11k)-(k-8k)=0
We add all the numbers together, and all the variables
-11(k-9)-5(11k+8)-(-7k)=0
We multiply parentheses
-11k-55k-(-7k)+99-40=0
We get rid of parentheses
-11k-55k+7k+99-40=0
We add all the numbers together, and all the variables
-59k+59=0
We move all terms containing k to the left, all other terms to the right
-59k=-59
k=-59/-59
k=1
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