To apply the distributive property to the expression \(-4(5v - 2x - 4)\), follow these steps:
1. Distribute -4 to each term inside the parentheses: This means you will multiply \(-4\) by each of the terms \(5v\), \(-2x\), and \(-4\).
2. Perform the multiplications:
- \(-4\) multiplied by \(5v\): \(-4 \times 5v = -20v\)
- \(-4\) multiplied by \(-2x\): \(-4 \times -2x = 8x\)
- \(-4\) multiplied by \(-4\): \(-4 \times -4 = 16\)
3. Combine the results: After performing the multiplications, combine the terms to form the simplified expression.
Therefore, the expression \(-4(5v - 2x - 4)\) simplifies to:
[tex]\[
-20v + 8x + 16
\][/tex]
This is the final simplified expression after applying the distributive property.
