To simplify the expression \((-6 + 4v + 2x)(-4)\), you need to distribute the \(-4\) to each term inside the parentheses.

Here's how it works:

\[
-4 \times (-6) + (-4) \times 4v + (-4) \times 2x
\]

Now, calculate each term:

1. \(-4 \times (-6) = 24\)
2. \(-4 \times 4v = -16v\)
3. \(-4 \times 2x = -8x\)

So, the simplified expression is:

\[
24 - 16v - 8x
\]

Would you like more details or have any questions?

Here are some related questions:

1. What is the distributive property in algebra?
2. How do you handle negative signs when distributing?
3. Can this expression be factored further?
4. What happens if you multiply both sides of an equation by a negative number?
5. How would you simplify \((2 - 3a + 5b)(-7)\)?

**Tip:** Always apply the distributive property carefully, especially when dealing with negative numbers, to avoid sign errors.

Learn how to simplify the expression (-6 + 4v + 2x)(-4) using the distributive property 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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