Question

use the distributive property to remove the parentheses.
-(-2u - 3w + 5)

Explanation:

Step1: Apply the distributive property (multiply -1 by each term inside the parentheses)

The expression is \(-(-2u - 3w + 5)\). We can think of this as \(-1\times(-2u - 3w + 5)\). Using the distributive property \(a(b + c + d)=ab+ac + ad\), here \(a=-1\), \(b = -2u\), \(c=-3w\), \(d = 5\). So we have:
\(-1\times(-2u)+(-1)\times(-3w)+(-1)\times5\)

Step2: Simplify each term

Simplify \(-1\times(-2u)\) to get \(2u\), \(-1\times(-3w)\) to get \(3w\), and \(-1\times5\) to get \(-5\). Combining these terms, we have \(2u + 3w-5\).

Answer:

\(2u + 3w - 5\)