Yes, you
apparently need to file two state returns.
But this is because your job in Virginia took out taxes to
Virginia. Maryland and Virginia have a reciprocal agreement which means that since
you live (state of record) is Maryland, you only pay state income tax to
Maryland and not Virginia. File a VA-4
for with your non-military employer to stop having your taxes withheld to
Virginia. Here is an FAQ about reciprocal agreements: https://ttlc.intuit.com/replies/4776822
Here is an FAQ about military residency: https://ttlc.intuit.com/replies/3300147
Here’s what you’ll do in TurboTax: click yes on
the question “Did you work in another state outside of Maryland?”, and then
enter Virginia. You will want to fill out the Virginia return as a non-resident reciprocal state (TurboTax
will generate that option). Good news Virginia will return all the state
(but not local) taxes you paid. Bad news: Maryland taxes all of the
income you made in Virginia.
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