First, both Arizona and North Carolina have a 183 day residency rule which says if you were a resident for more than 183 days then you are a full-year resident. So when exactly did you move?
Whichever state is the one you end up being a resident of for the year is the state that you should do last. Do the other state as a part-year resident first and adjust the income in that state. Then when you do the full year resident state you will take a deduction for the taxes that you paid in the part year residency state.
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