Let's simplify the given expression. It appears to be formatted with some spacing issues, but I believe the expression is:

\[
\frac{-4k - 4}{3(k + 5)^2}
\]

Let me confirm and solve this properly.

### Solution:
Given:

\[
\frac{-4k - 4}{3(k + 5)^2}
\]

This is a rational expression that is simplified as much as it can be. To solve it or evaluate it for a specific value of \( k \), you would need to substitute \( k \) with a particular number.

Do you have a value for \( k \), or would you like to simplify or analyze the expression further?

### Follow-up Questions:
1. Do you want me to substitute a specific value for \( k \)?
2. Are you looking for a detailed step-by-step explanation of this expression?
3. Would you like me to discuss the behavior of this expression as \( k \) approaches specific values (like infinity)?
4. Should we consider solving for \( k \) when the expression equals zero?
5. Would you like to understand how to simplify or factor such expressions more deeply?

### Tip:
When working with rational expressions, always check for common factors that might cancel out to simplify the expression.

Explore how to simplify the rational expression (-4k - 4) / (3(k + 5)^2) with a step-by-step solution. This problem involves algebraic manipulation of rational expressions, suitable for advanced high school students.

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