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If your Kindle states that it is authenticating and is hung up there, that may indicate a connection problem to your wifi network. Please restart your Kindle and swipe down from the top of the screen to show the Quick Menu. Select Wifi and look for your wireless network name (SSIF). Select that and enter your password (Network Security Key). Please let me know what happens.
If your Kindle gets hung up authenticating again, this would indicate a problem with your password.
What is your computer operating system? (pc or mac)