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-k+16+3k>0
Add 3k to both sides.
-k+3k>-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
2k>-16
Combine -k and 3k to get 2k.
k>\frac{-16}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
k>-8
Divide -16 by 2 to get -8.