To simplify the expression \((–4v + 9)(4)\), you can distribute the \(4\) to both terms inside the parentheses:

\[
(–4v + 9)(4) = –4v \cdot 4 + 9 \cdot 4
\]

Now, calculate each term:

\[
–4v \cdot 4 = –16v
\]
\[
9 \cdot 4 = 36
\]

So, the expression simplifies to:

\[
–16v + 36
\]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How would you simplify \((2x - 5)(3)\)?
2. What happens if you multiply \((3y + 7)\) by a negative number like \(-2\)?
3. How do you factor the expression \(–16v + 36\)?
4. What is the result of distributing a fraction, e.g., \((\frac{1}{2}x + 4)(2)\)?
5. How do you simplify an expression like \((–4v + 9)(4v)\)?

**Tip:** Distributing is a key step in algebra; always ensure each term is correctly multiplied when distributing across parentheses.

Learn how to simplify the algebraic expression (–4v + 9)(4) step-by-step with detailed explanations and calculations. This problem involves applying the distributive property in algebra to multiply a binomial by a constant. Suitable for students in Grades 7-9.

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