A V7 chord will naturally want to move to a I chord; that's true of major keys where V7->I, and minor keys where V7->i. This is the strongest resolution in music and it's called the authentic cadence.
The bit about minor keys confused me a bit, because I've always dealt with major keys. There wasn't anything else on this topic, and I couldn't find anything else about it on the internet, so I'm turning to you guys for clarification.
Looking at a minor key, let's take Amin, for example, would it look like this?
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Amin Bdim Cmaj Dmin Emin Fmaj Gmaj
i ii* III iv v VI VII
In this case would the authentic cadence be Emin7 -> Amin?