How do I create a backup of my PS3?

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I've got two ps3 and, on the second one, I've tried to sign in with my account to download a game (GTA5) but I couldn't find it in the downloaded content section. So I thought that I may try to do a full backup of my first PS3, but I don't know how to copy the game. Can someone explain it to me?
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Quick Answer about "How do I create a backup of my PS3?"
Can you backup PS3 to flash drive?
A USB hard disk can also be used to back up data and will appear under the icon when connected. Note however that the disk must be formatted in the FAT32 file system to be recognized by the PS3\u2122 system. Backed up data will be saved in the [PS3] - [EXPORT] - [BACKUP] folder. The folders are created automatically.Does PS3 backup include games?
The backup does not include purchased content, including downloaded games, movies or apps.How do you backup PS3 games?
Go to "PlayStation Network" on your home screen and sign in to your existing account. Go to Game > Saved Data Utility (PS3). Select the data you want to save and press Triangle > [Copy]. Select Online Storage as the save destination.Backup your PlayStation 3
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