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Gerry Broome, Associated Press
North Carolina's Harrison Barnes (40) shoots as Texas' J'Covan Brown (14) defends during the second half of an NCAA college basketball game in Chapel Hill, N.C., Wednesday, Dec. 21, 2011. North Carolina won 82-63.

CHAPEL HILL, N.C. — Harrison Barnes scored a season-high 26 points to help No. 5 North Carolina beat Texas 82-63 on Wednesday night.

John Henson added 14 points for the Tar Heels (11-2), who won their fifth straight and avenged last season's last-second loss to the Longhorns.

North Carolina went on a 13-1 run to build a double-digit lead midway through the first half and never looked back, turning a 39-23 halftime lead into a 24-point margin late in the game.

Barnes was coming off consecutive nine-point performances, but the sophomore looked far more active and assertive against the Longhorns by attacking the rim or posting up on shorter defenders. He made 9 of 15 shots and finished with 10 rebounds, part of UNC's 49-34 advantage on the glass.

J'Covan Brown was one of three players with 16 points for Texas (9-3), which shot just 35 percent and never recovered from a slow start.