1. **State the problem:** Simplify the expression $13 - 19 + (-4)$. 2. **Recall the rules:** When adding or subtracting integers, combine like terms by performing addition or subtraction from left to right. Adding a negative number is the same as subtracting its positive counterpart. 3. **Perform the first operation:** $13 - 19 = -6$. 4. **Add the next term:** $-6 + (-4) = -6 - 4 = -10$. 5. **Final answer:** The simplified value of $13 - 19 + (-4)$ is $-10$.