Trump's first guest appearance on Late Night was taped fourteen months later on December 2, 1987. It aired on December 22. He came on to promote his book, Art of the Deal. It being the run-up to the 1988 campaign, Dave asked if he were interested in running for the presidency.
Jimmy "The Greek" Snyder then guested on December 18 and discussed the prospects of a possible Trump campaign. (Snyder would be fired from CBS a month later.)
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