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A basketball player scored 22 points in a game. The number of three-point field goals the player made was 26 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 9 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.

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