Mediocre back cover? Help!

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http://forum.xda-developers.com – Hello So I have a galaxy s3. My little brother happened to use my phone when he had ball point smudges on his hand. So now there are smudges on the back cover. I tried removing it by putting a drop or two of water and even nail polish remover but it didn't work. It just lightened it. Anyone know if there is a solution for this kind of thing? Thanks! Sent from my GT-I9300 using xda app-developers app (HowTos)