The lease (I inherited) states they are still responsible for any remaining rent obviously.

While rent credits at closing sound like an easy fix, you may be looking at much MORE than 8.4k off the duplex in a normal negotiation since renovation work will be halted, perhaps interest rates will be much higher in a year for refi, and who knows if additional damage to the property will be sustained by inherited tenants over the following year.2. 

What does it mean when you inherit the owners loan when buying a property and how does it work?

When I bought it I inherited tenants, who were nearly perfect.

All of that tax-free, inheritable, with no RMDs. 

So I was able to increase the rent from 650 to 950 with my inherited (section 8) tenant.

I don't want to inherit debt from them, especially my mom that is in 150k+ of horrible credit card debt and other high-interest debt.

We moved into the top unit side and inherited renters on the bottom floor (bad move I might share about in another post).

Sounds great, I know! But when they have been living there for 10+ years, are still paying half the market rent, and their unit is in desperate need of an update; how good is this situation really?We are interested in...

It is better if you inherit a property after death, because you inherit at stepped up basis, meaning no capital gains if you sell right away.