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OK I completed them in that order. One observation that I need help with:

 

On the AR return, when looking at the printed filing records, and namely the "File by Mail Instructions page" I see something odd. 

 

Total tax is $5,000

Total Payments/Credits: $5,512

No refund of Amount Due: $0

 

If the credit that I applied to my AR tax return (from IL) is higher than my tax obligation for AR, why is the refund $0?