Final answer:
The total charge remains the same according to the law of conservation of charge; when two charged objects are brought together and then separated, each ends up with half of the total charge.
Step-by-step explanation:
The question discusses the law of conservation of charge, which states that the total charge in an isolated system remains constant. The total charge on two groups before moving electrons (black checkers) must be the same as the total charge after moving electrons because no charge is created or destroyed; only the distribution of charges changes. When discussing two charged metal conducting spheres, after they are brought together and then separated, each sphere will end up with half of the combined charge. The final charge on each sphere is determined by the initial total charge of the system and the principle of charge distribution when conducting objects touch