They will also accept conditions before the appraisal is done. 

I have a small mortgage left on it with around 3.75% rate and I think Chase (mortgage holder) will accept that I modify the deed such that it goes into an LLC. 

Assuming that all goes well and the buyer’s good-faith offer is accepted by the seller, the earnest money funds go toward the down payment and closing costs.

I’m considering a 20-unit multifamily property listed at $1.6M, but the seller has indicated they’re willing to accept $1.25M.

The parties will jointly appoint an acceptable mediator and will share equally in the cost of such mediation.

Gives you time to go do more deals and get more contracts accepted for the next one. 

Our first accepted offer was a 320 unit deal that we contracted, put up non-refundable (yeah, I know) earnest money, and thought we had our financing and money in place to do the deal.  2 weeks before closing a major (several million) partner pulled out leaving us short of the funds needed to close. 

If youre wanting to make a cash offer, all I can say is that Ive never seen a competent seller/listing agent accept a cash offer without proof of funds, meaning a bank statement or similar document(s) showing liquid cash for closing.

While your partner accepts more of the cash from the sale of the FFE and the associated tax bill.This might take some accountant massaging. 

You will never know the right number until you have a chance to inspect and get contractor bids, which will typically happen after an offer is accepted.