2/9+-5/6= -8 -(-3/7 k)

The answer I got found was 82k=-903
I then divided that by 82 and found k=-11.0121.

Which was incorrect, please help me.

2/9 + -5/6 = -8 - (-3/7 k)

2/9 - 5/6 + 8 = 3/7 k
133/18 = 3/7 k
931/54 = k

I suspect a typo. Show your steps, as I see no way to get 82k from that input.