use the distributive property to remove the parentheses in the expression -(2x-3w-5)

To remove the parentheses in the expression \(- (2x - 3w - 5)\) using the distributive property, you need to distribute the negative sign (which is equivalent to multiplying by \(-1\)) across each term inside the parentheses.

Here's the step-by-step process:

\[
- (2x - 3w - 5) = -1 \cdot 2x + (-1) \cdot (-3w) + (-1) \cdot (-5)
\]

Simplifying each term:

\[
-2x + 3w + 5
\]

So, the expression \(- (2x - 3w - 5)\) simplifies to:

\[
-2x + 3w + 5
\]

Would you like more details or have any questions?

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Here are 5 related questions:

1. How would you apply the distributive property to the expression \(3(4x + 2y - 7)\)?
2. What is the result of distributing \(-4\) across the expression \((x - 2y + 3)\)?
3. Can you simplify the expression \(- (5a + 2b - c)\) using the distributive property?
4. How does the distributive property work with multiple terms inside the parentheses, such as \(2(3x - y + z)\)?
5. What happens if you distribute a fraction, like \(\frac{1}{2}\), across an expression?

**Tip:** Remember, the distributive property involves multiplying each term inside the parentheses by the factor outside the parentheses.

Learn how to simplify the expression -(2x - 3w - 5) using the distributive property step-by-step. This problem involves applying the distributive property to remove parentheses and simplifying algebraic expressions. Suitable for students in Grades 7-9.

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