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16-8\left(k-2\right)>0
Multiply 4 and 2 to get 8.
16-8k+16>0
Use the distributive property to multiply -8 by k-2.
32-8k>0
Add 16 and 16 to get 32.
-8k>-32
Subtract 32 from both sides. Anything subtracted from zero gives its negation.
k<\frac{-32}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
k<4
Divide -32 by -8 to get 4.