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Gibson scored 19 of his career-high 31 points in the fourth quarter as the Cavaliers outscored the Pistons by 15 in the period to reach the NBA Finals for the first time in franchise history with a 98-82 Game 6 victory on Saturday night.
Cleveland became the third team in NBA history to win a best-of-seven conference final after losing the first two games of the series.
James scored 20 points on 3-of-11 shooting from the field and added 14 rebounds and eight assists, while Zydrunas Ilgauskas tallied 11 points and 12 rebounds.
Richard Hamilton led Detroit with 29 points, and Chris Webber finished with 13 points and six rebounds.
Cleveland will visit San Antonio for Game 1 of the NBA Finals on Thursday, June 7 at 9 p.m. ET on ABC.
Series Blog: Round 3: (1) Pistons vs. (2) Cavaliers
Watch: East Finals Preview
Playoff Passions: LeBron James | Chauncey Billups
How they got here, Pistons
Conference semifinals: Pistons 4, Bulls 2
First Round: Pistons 4, Magic 0
How they got here, Cavaliers
Conference semifinals: Cavs 4, Nets 2
First Round: Cavs 4, Wizards 0