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You should even feel free to make it harder! As long as you don't need to play more than five notes at a time (unless it involves seconds on white or black keys that you can play with the thumb alone) and as long as the notes you have to play at once aren't too far away from each other, you can do quite a lot with a single hand. Don't be afraid of even using polyphony, or simple melody-accompaniment structures.
There's nothing wrong with keeping it simple of course! I'm just saying it so you don't have to feel restrained too much.
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