TurboTax would report the income you earned in another state on your resident state's tax return, because your home state, no matter which state it is, will tax you on all your income for the year, no matter where you earned it.
To help reduce double taxation, most states will give you a credit for income tax paid to another state.
You should prepare your nonresident state return first, then your resident state, so that the credit will be computed properly.
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