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4k+7(2k+1)=-83
We move all terms to the left:
4k+7(2k+1)-(-83)=0
We add all the numbers together, and all the variables
4k+7(2k+1)+83=0
We multiply parentheses
4k+14k+7+83=0
We add all the numbers together, and all the variables
18k+90=0
We move all terms containing k to the left, all other terms to the right
18k=-90
k=-90/18
k=-5
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