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5(3+2k)+3(2+3k)=59
We move all terms to the left:
5(3+2k)+3(2+3k)-(59)=0
We add all the numbers together, and all the variables
5(2k+3)+3(3k+2)-59=0
We multiply parentheses
10k+9k+15+6-59=0
We add all the numbers together, and all the variables
19k-38=0
We move all terms containing k to the left, all other terms to the right
19k=38
k=38/19
k=2
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