Yes. You got it! There is a reciprocal agreement. Prepare your Federal, then your PA then NJ in that order. Your home state should be last. TurboTax will direct you. Answer the interview questions accurately. They will ask if you worked in any other state. Answer yes, as a Non-Resident.
The Reciprocal Agreement covers compensation only. Likewise, if you are a New Jersey resident and your employer withheld Pennsylvania income tax from wages, you must file a Pennsylvania return to get a refund.
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