The Complaint Process
After posting your appeal, the admin(s) in question will give a response to your thread detailing their side of the story. The person making the complaint and the banning admin may go back and forth as they please in the topic until both sides are done making their point. After which, a head admin will review both sides and come to a judgement based on that. The head admin's ruling is final.
The Peanut Gallery
The only people allowed to post in an appeal topic are the person making the complaint, the admin responsible for the ban, and the head admins.
Exceptions are granted to people that were involved in the situation that are described in the complaint, so they may give their side of the story if necessary. You may also post as a completely uninvolved person if it is to point out an inaccuracy with a story, or to point out a specific rule or precedent that may apply in this situation. Posting a pure opinion piece or trying to shoehorn an opinion piece into a rule or precedent statement is not permitted within the appeal topic itself. Repeated infractions will result in your ability to post being removed.