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-17=1+5k-8k
We move all terms to the left:
-17-(1+5k-8k)=0
We add all the numbers together, and all the variables
-(-3k+1)-17=0
We get rid of parentheses
3k-1-17=0
We add all the numbers together, and all the variables
3k-18=0
We move all terms containing k to the left, all other terms to the right
3k=18
k=18/3
k=6
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