The expression you provided is:

\[
-2(4r + 5)
\]

To simplify this, apply the distributive property, which states that \( a(b + c) = ab + ac \).

\[
-2(4r + 5) = -2 \times 4r + (-2 \times 5)
\]
\[
= -8r - 10
\]

Thus, the simplified expression is:

\[
-8r - 10
\]

Would you like more details on how this works or have any questions?

Here are five related questions to help further explore the topic:
1. What is the distributive property and why is it useful?
2. How do you handle expressions with multiple variables?
3. How do you factor an expression like the one we simplified?
4. How would this change if you multiplied by a positive number instead of \(-2\)?
5. How do you solve an equation if \( r \) were given a value?

**Tip:** When simplifying expressions, always follow the order of operations: parentheses, exponents, multiplication/division, and addition/subtraction (PEMDAS).

Learn how to simplify the algebraic expression -2(4r + 5) using the distributive property. This detailed step-by-step solution explains key concepts in algebra and is suitable for students in Grades 6-8.

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