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Hi, my name is Mark. I will be happy to help you with your questions. You would file a DE Non-resident return and a PA resident return. Usually, the resident state will give you a credit for taxes paid to other states. Let me check on this for you.
If you file as a resident in PA, you would receive a credit for taxes paid in another state. On the Delaware return you would pay taxes on only the DE income. On the PA return you would pay taxes on all of the income (assuming that you lived in PA the entire year). The tax credit is designed to prevent the double taxation of the income.
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