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OTRC: Alec Baldwin introduces 27-year-old girlfriend on the 'Late Show' (Video)

Alec Baldwin and Hilaria Thomas appear in a still from the August 30 episode of the 'Late Show.' (CBS)

Alec Baldwin appeared beyond smitten when he appeared on the "Late Show" on Tuesday, repeatedly bringing up his new girlfriend, 27-year-old yoga instructor Hilaria Thomas.

"I have a woman in my life, who's very important to me, my girlfriend," Baldwin told host Jay Leno. When asked how long they'd been dating, the actor joked, "On a spiritual level, I've known her forever, Dave."

Baldwin recently sold his Upper West Side apartment to move in with Thomas downtown. Thomas, who teaches yoga at the Union Square studio Yoga Vida, appears to have a healthy effect on the newly slimmed-down Baldwin, but she also may have changed the actor's political aspirations.

"Think about this," Baldwin said. "Would I rather be hand-cuffed to the Emergency Command Center in Maspeth during a hurricane, holding down the fort and making sure all the plows are working and the sewage is not backing up, or would I rather spend some of that '30 Rock' money traveling the world with my girlfriend? Which do you think?"

Alec Baldwin was reportedly considering a run for mayor of New York City, following news that Rep. Anthony Weiner might pull out of the race due to his recent photo scandal.

Baldwin hinted at his campaign, Tweeting on Wednesday: "It's a long way till November of 2013," which is the date of the next mayoral election in New York City.

"It's the old adage you hear people say who are interested in politics," Baldwin told Leno. "I would like to be the mayor, I don't know if I'd like to run for mayor. Running for mayor and being the mayor are two completely different things."

The 53-year-old actor has played Jack Donaghy on the NBC comedy series "30 Rock" since it debuted in 2006 and has one season left on his contract with NBC. Baldwin, who has not ruled out a political career, has said he will leave at that point.

In January, Baldwin told CNN's Eliot Spitzer that he was interested in politics but said that to quit acting would be "enormously difficult."

"It would be easier for me to run if I moved - California or Connecticut or somewhere," Baldwin, a New York resident, told the Associated Press. "And I'm not prepared to do that right now."

Baldwin has meanwhile been keeping busy with his movie career. He stars in the upcoming film adaptation of the Broadway hit "Rock of Ages."

The film is based on the hit Broadway musical, which features 1980s "hair metal" hits from bands like Journey, Bon Jovi, and Twisted Sister. Baldwin, who has appeared in films such as "Beetlejuice" and "It's Complicated," portrays Dennis Dupree, an ex-rocker who runs a club in Los Angeles' famed Sunset Strip rock district.

Baldwin graduated from New York University's Tisch School of the Arts. He has received three Golden Globe Awards, two Emmys, five SAG Awards and the Television Critics Award for his role as Jack Donaghy on "30 Rock." The actor recently addressed Harvard Law's graduating class.

"I wanted to be President of the United States, so I needed to get my hands on a law degree," Baldwin told Harvard's 2011 graduating class, The Harvard Crimson reported. "Nearly every day since then, I wondered what would [have happened] if I had the patience, skill, or good fortune."

Watch Alec Baldwin's "Late Show" appearance below.

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