The expression you need to simplify is:

$-4 - 7$

To solve this, combine the two negative numbers:

$-4 - 7 = -11$

So, the simplified expression is:

$\boxed{-11}$

Would you like more details on how to handle negative numbers or have any further questions?

Here are 5 related questions to further your understanding:

1. How do you add and subtract negative numbers?
2. What is the rule for subtracting a negative number?
3. How would the result change if we were subtracting a positive number?
4. How can negative numbers be applied in real-world situations?
5. What is the difference between adding and subtracting integers?

Tip: When subtracting, think of it as adding the opposite. For example, $-7$ is the same as adding $-7$.