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Paul Pierce shot the Celtics to an easy victory, finishing with 22 points.
Brought in to revive the sagging Celtics after their second consecutive playoff absence, Garnett had 13 points and eight rebounds, and Allen scored 14 points before sitting out the fourth quarter. The New Big Three had seven points apiece in the first quarter as Boston opened a double-digit lead.
Zach Randolph had nine points and 12 rebounds for New York, and Stephon Marbury scored nine for the Knicks, who did not have a player score in double figures. Allan Houston, attempting a comeback after two years off, missed his only shot while playing six minutes.
A 10-time All-Star acquired in an unprecedented 7-for-1 trade over the summer, Garnett teamed with second-year point guard Rajon Rondo for the former NBA MVP's first highlight in Boston. Taking an entry pass under the basket, Garnett dished it behind his back to Rondo for the layup.
The basket gave the Celtics a 7-5 lead three minutes into the game, and they never trailed again.