To simplify the expression \(-6(a + 8)\), apply the distributive property. This property states that \(a(b + c) = ab + ac\).

So, distribute \(-6\) to both terms inside the parentheses:

\[
-6(a + 8) = -6 \cdot a + (-6) \cdot 8
\]

Simplifying the terms:

\[
-6a - 48
\]

Thus, the simplified expression is:

\[
-6a - 48
\]

Would you like further details or explanations on any part of this?

Here are 5 related questions to explore further:
1. How do you factor expressions like \(-6a - 48\)?
2. What are the properties of distribution in algebra?
3. How do you solve linear equations with expressions like this one?
4. What happens when you distribute a positive number instead of a negative?
5. How would you simplify an expression with multiple variables?

**Tip:** Always watch out for signs when distributing negative numbers to avoid mistakes!

Learn how to simplify the algebraic expression -6(a + 8) using the distributive property. This step-by-step guide shows how to distribute -6 and simplify the terms to arrive at the final result: -6a - 48. Suitable for students in Grades 6-8.

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