iPhone Re-buying
iTunes for iPhone (Buying singles on current accounts)
1. Remember to make sure you re-bought using this method:
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iTunes for iPhone (Switching Entire accounts)
1. Go to appleid.apple.com/account and create your new Apple ID.
2. Go to iTunes app and on the "featured" tab scroll all the way down.
3. Sign out from the old ID. Don't forget your original information!
4. Login to your new iCloud account and buy the song of your choice.
Video on how to rebuy using a newly created iCloud account: