To simplify the expression \( 4(2w + 9) \), follow these steps:

1. **Distribute** the \( 4 \) to each term inside the parentheses:
   \[
   4 \times 2w + 4 \times 9
   \]

2. Perform the multiplication:
   \[
   8w + 36
   \]

So, the simplified expression is:
\[
8w + 36
\]

Would you like more details, or do you have any questions?

Here are five related questions to expand your understanding:

1. How do you distribute a negative number across a parenthesis, like \(-3(5w - 7)\)?
2. What is the distributive property, and how is it useful in algebra?
3. How can you simplify the expression \(-2(3w - 4) + 6w\)?
4. What happens if you have more than one set of parentheses to distribute, such as \(2(3w + 4) + 3(2w - 1)\)?
5. How do you factor the expression \(8w + 36\) back into its original form?

**Tip:** Remember that the distributive property can be a powerful tool for simplifying expressions and solving equations. Always apply it carefully to each term inside the parentheses.

Learn how to simplify the expression 4(2w + 9) with a detailed step-by-step solution. This problem covers key algebraic concepts, including the distributive property. Suitable for students in Grades 7-9.

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