Can anyone tell me if I can move a game that is on my kindle to my laptop without losing all the scores and levels?
That depends on the app developer. If they have included a cross platform cloud save feature, then it may be possible.
I recommend reaching out to the app developer for clarification.
I would guess that you just download the game to a new platform and within seconds it will up your game status or will start you at level 0.
Sorry, I don't game much so I'm probably not that helpful :( Sorry.
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you can't download the game from a Kindle (or maybe you mean a Fire?) to a laptop and play it there. And most apps won't work on laptops.