The longest-running scripted show paid tribute to the longest-running late-night talk show host this week, when The Simpsons couch gag got the David Letterman treatment.

On Thursday, Letterman announced he would retire in 2015 after more than 30 years in the business, prompting social-media tributes from television colleagues, as well as fervent replacement rumors.

In The Simpsons tribute, Homer, Marge, Bart, Lisa and Maggie travel from their hometown to New York City to appear on the Late Show With David Letterman, but their their cameo doesn't sit well with the animated version of the 66-year-old talk-show host. Check out the full video, above.

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