Or look at it this way, you made 80k from one transaction, put that against the loan in tempe, then you will only owe 40k, you should always be able to rent it for positive cash flow, at the end of the day, when the balance sheet is settled, you kinda win, you have an asset that produces cash, probably will for some time, and in 15 or 20 years you can sell it and send the kids to college with it or send them to school in tempe and let them live in it.
If you could buy it for 40k you would probably do it today, so if you stop considering the 80k as your hard earned money and think of it as a gift from the san diego r/e gods, it will make the sacrifice of it to the tempe r/e gods that much easier.