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3(3k+2)=13k-18
We move all terms to the left:
3(3k+2)-(13k-18)=0
We multiply parentheses
9k-(13k-18)+6=0
We get rid of parentheses
9k-13k+18+6=0
We add all the numbers together, and all the variables
-4k+24=0
We move all terms containing k to the left, all other terms to the right
-4k=-24
k=-24/-4
k=+6
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