It's 7:58 here.
|k-8|=8
k-8 = 8 or -(k-8)=8
k=16 or -k+8=8
k=16 or k=0
check:
|0-8|=|-8|=8 good
|16-8|=|8|=8 good
Answer: k=16 or k=0
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