Enter your W-2's as represented on your tax document(s). It will reflect the state taxes you paid in each state. When you add your state returns, it will ask you how long you were a resident with each state.
Since you are a resident of New Jersey, you are required to file a resident return with them, they will consider that your income was earned in the state of Pennsylvania and a credit will be applied for taxes you paid for in another jurisdiction.
Here is more information from the State of New Jersey.
For the State of Pennsylvania, you will file a Non-Resident Tax Return and will be taxed on your Pennsylvania earnings.
Here is more information for the State of Pennsylvania
This may sound complex, but TurboTax will complete your returns for both States accurately, as it will ask you pertinent questions to ensure you are filing these returns correctly.
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