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5(2k-1)-3(-2+k)=15
We move all terms to the left:
5(2k-1)-3(-2+k)-(15)=0
We add all the numbers together, and all the variables
5(2k-1)-3(k-2)-15=0
We multiply parentheses
10k-3k-5+6-15=0
We add all the numbers together, and all the variables
7k-14=0
We move all terms containing k to the left, all other terms to the right
7k=14
k=14/7
k=2
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