Electrodisc, the sport of the future, has players skating across the field on hover shoes pushing around metallic discs. When discs collide players get points based on the amount of charge exchanged. The players today are playing the popular three disc variant of Electrodisc where each disc has the following charges:

qA $=9$q$,$ qB $=5$q$,$ and qC $=0$q

$($no net charge$).$ In the first quarter of the game the opposing team is able to touch disc A and B together then separate them. Then the home team scores by touching disc C to disc A and then separates them. Finally, the opposing team scores again by touching disc C to disc B and then separates them. $($Give your answers in terms of q$.)($a$)$ What is the final charge of object C$?($b$)$ Before the objects touch, what is their total charge? $($c$)$ After the objects touch, what is their total charge?