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5k+3=2k-15
We move all terms to the left:
5k+3-(2k-15)=0
We get rid of parentheses
5k-2k+15+3=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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