You can and should e-file the federal. You will just make payments online or request a payment plan. If you mail a federal amended return it could take months for it to process and has more chance of something being messed up.
For the Arizona, if you need to mail it, just mail the forms. Pay online. You never want to send a payment through the mail.
The federal does share filed returns with the states so they can compare.
So your next steps are:
- efile the federal
- sign, date, assemble the amended return, mail with tracking
- make payments online when ready
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