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When you're a three-time NBA All-Star and an Olympic gold medal winner, your next goal is to be on a team that can bring you a winning record and a trip to the NBA playoffs.
The Brooklyn Nets are an up-and-coming team with an extremely difficult building process, so Williams will most likely want to go to a team that is already secure.
The Utah Jazz drafted Williams third overall in 2005, and he spent five seasons there before being traded to the Nets in the middle of his sixth. If Williams stays with the Nets, he will be offered more money than most teams in the league can afford, and he will be starting the franchise off basically from scratch.
However, if Williams wants confidence that his team will be a powerhouse in the playoffs, he might consider leaving the Nets and going elsewhere to win games.