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4(k-2)+2k=-7k-34
We move all terms to the left:
4(k-2)+2k-(-7k-34)=0
We add all the numbers together, and all the variables
2k+4(k-2)-(-7k-34)=0
We multiply parentheses
2k+4k-(-7k-34)-8=0
We get rid of parentheses
2k+4k+7k+34-8=0
We add all the numbers together, and all the variables
13k+26=0
We move all terms containing k to the left, all other terms to the right
13k=-26
k=-26/13
k=-2
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