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A deduction is not a credit. The deduction of state taxes on Schedule A is not fully refundable. A deduction only reduces your taxable income but not bellow 0. For instance, $1000 deduction in 28% tax bracket will reduce your tax liability by $280, NOT $1000. There are another things to consider. Does the person itemize his deduction or is he claiming standard deduction? If he does not have enough to itemize he will not benefit from the deduction in any way.
Until the person files his tax return there's no way to tell how the deduction affect is his taxes. The most benefit he will receive (assuming 28% is his effective tax rate, not tax bracket), will be $28 on every $100 he can deduct, if he can deduct it.
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