1. **State the problem:** We have a class of 32 kids. 20 kids go to painting class, 14 go to music class, and 6 kids go to both painting and music classes. We need to find how many kids go to only one class. 2. **Identify the sets:** Let $P$ be the set of kids who go to painting, and $M$ be the set of kids who go to music. 3. **Given data:** - $|P| = 20$ - $|M| = 14$ - $|P \cap M| = 6$ 4. **Find the number of kids who go to only painting:** $$|P \setminus M| = |P| - |P \cap M| = 20 - 6 = 14$$ 5. **Find the number of kids who go to only music:** $$|M \setminus P| = |M| - |P \cap M| = 14 - 6 = 8$$ 6. **Find the total number of kids who go to only one class:** $$|P \setminus M| + |M \setminus P| = 14 + 8 = 22$$ **Final answer:** 22 kids go to only one class.