1. **State the problem:** Simplify the expression $3 - (-6) + 4$. 2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart. So, $a - (-b) = a + b$. 3. **Apply the rule:** Replace $-(-6)$ with $+6$. $$3 - (-6) + 4 = 3 + 6 + 4$$ 4. **Perform the addition:** $$3 + 6 = 9$$ $$9 + 4 = 13$$ 5. **Final answer:** $$13$$