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2(k-3)=6+3k-3=
We move all terms to the left:
2(k-3)-(6+3k-3)=0
We add all the numbers together, and all the variables
2(k-3)-(3k+3)=0
We multiply parentheses
2k-(3k+3)-6=0
We get rid of parentheses
2k-3k-3-6=0
We add all the numbers together, and all the variables
-1k-9=0
We move all terms containing k to the left, all other terms to the right
-k=9
k=9/-1
k=-9
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