Since you had taxes paid to Wisconsin, you need to file a non-resident tax return there to get those refunded. You need to file a resident tax return in Georgia to pay in the taxes you owe there. Your corrected W-2 should show the taxes you had withheld in Wisconsin to get credit for them. However, if not you can enter them in box 17 on your W-2 form entry and you should get credit for them, as the state will have a record of the taxes sent to them under your social security number. Make sure you enter "WI" in box 15 on your W-2 entry for the Wisconsin taxes withheld.
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