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That 7.5T in payouts doesn't just disappear from the economy. Most people will put almost all of that payment right back into the economic equation through consumerism. In most models the basic income would be pretty close to the cost of living, and (this is strongly speculative) savings would drop to near-zero if people are less concerned about where their next paycheck is coming from.

A huge proportion of the welfare will is spent right away on consumption of necessities (food, rent) which goes right back into the economy. Specifically, it becomes revenue for business owners.