I am sitting at a large table for a family reunion. The table carefully places me and my 8 cousins around the table. Given that we like to eat, the host made sure that everyone was placed equidistant from the person to their left and their right. Starting at me and going clockwise there was Eric, Donald, Chris, Becky, Amber, Isaac, Huey, and George. As soon as the food is delivered, Amber asked me to slide her the salt. After she finished with the salt, she passed the salt to Chris and handed pepper to Becky. Prove that the salt traveling from me to Amber is equivalent in distance to the trip the salt and pepper traveled from Amber to Chris and Becky, respectively.