How much room is there after an offer? (update)

I want to negotiate but I am afraid they will withdraw. It has been a long 18 weeks. The hiring manager was friendly and open. What wording worked?

Thanks for writing this out. I went through something close to it last year, and it got easier once I kept a simple log of every call and form.

Ask about the range, not a number on its own. It felt more collaborative.