Connection Issue

[Boramiir]

So... this doesn't really fall into the category of "Technical/Bugs" so I didn't post it in that thread. This is more of a general question, hoping someone will have an answer.

I originally played AL on my Samsung Galaxy S5 (Android phone). When I made my account, I did so by signing in with Google+.

For Christmas, I got a Kindle Fire HD7 (Amazon tablet). This, not being a Google product, does not have the Google Play and/or Google+.

My question is this: Is there a way for me to play on my tablet using my normal phone account? If so, how?

Thank you in advance for any help given.

Edit: Added a link to a screenshot of my log-in choices on my tablet.

http://tinypic.com/r/kedxfo/8