Three liquids are at temperatures of 6 ◦C, 24◦C, and 40◦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 13◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 36.6 ◦C. Find the equilibrium temperature when equal masses of the first and third are mixed. Answer in units of ◦C.
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