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A survey of 110 tourists was taken in St. Louis. The survey showed the following: 61 of the tourists plan to visit the Gateway Arch; 45 plan to visit the zoo; 9 plan to visit the Art Museum and the zoo, but not the Gateway Arch; 13 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 18 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 7 plan to visit the Art Museum, the zoo, and the Gateway Arch 16 plan to visit none of the three places. How many plan to visit the Art Museum only?
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