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6k+7=7k-4
We move all terms to the left:
6k+7-(7k-4)=0
We get rid of parentheses
6k-7k+4+7=0
We add all the numbers together, and all the variables
-1k+11=0
We move all terms containing k to the left, all other terms to the right
-k=-11
k=-11/-1
k=+11
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