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Find the value of each variable in the triangle using the midsegment theorem.

Triangle with sides labeled 24, 36, and 38, with expressions 2x, y-2, and z+8 on the sides, indicating a triangle midsegment theorem problem.

Triangle with sides labeled 24, 36, and 38, with expressions 2x, y-2, and z+8 on the sides, indicating a triangle midsegment theorem problem.

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