Real Estate Law
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It is possible that if you refuse to make the repairs, the tenant can pay the cost of repair and take it off of the rent that is due. Here's a good link you can read: http://www.nolo.com/legal-encyclopedia/arizona-tenant-rights-withhold-rent-repair-deduct.html
The above link also has a link to the laws on this issue about midway down the page.
However, it would be best if you can reach an agreement with the landlord to do this and put it in writing to protect both of you.