The answer is w > -10.
Here are the steps I did.
1. Simplify 2/5w to 2w/5 ( -12 > -2w/5 - 16)
2. Add 16 to both sides ( -12 + 16 > -2w/5
3. Simplify -12 + 16 to 4 ( 4 > -2w/5)
4. Multiply both sides by 5 ( 4 x 5 > -2w)
5. Simplify 4 x 5 to 20 ( 20 > -2w)
6. Divide both sides by -2 ( -20/2 < w)
7. Simplify 20/2 to 10 ( -10 < w)
8. Finally switch it up ( w > -10)