A park has three different sections: a triangular section, a rectangular section, and a hexagonal section. The triangular section has 3 sides, the rectangular section has 4 sides, and the hexagonal section has 6 sides. If a new polygonal section is added to the park with 5 sides, what is the total number of sides in all sections of the park? Let's think step by step and output the final answer within \boxed{}.
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