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5k+14=7k+18
We move all terms to the left:
5k+14-(7k+18)=0
We get rid of parentheses
5k-7k-18+14=0
We add all the numbers together, and all the variables
-2k-4=0
We move all terms containing k to the left, all other terms to the right
-2k=4
k=4/-2
k=-2
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