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8-3k<8-56k
Use the distributive property to multiply 8 by 1-7k.
8-3k+56k<8
Add 56k to both sides.
8+53k<8
Combine -3k and 56k to get 53k.
53k<8-8
Subtract 8 from both sides.
53k<0
Subtract 8 from 8 to get 0.
k<0
Product of two numbers is <0 if one is >0 and the other is <0. Since 53>0, k must be <0.