Question

Rewrite in simplest terms: 0, point, 8, left parenthesis, minus, 5, w, minus, 0, point, 8, right parenthesis, minus, 0, point, 3, left parenthesis, 0, point, 5, w, minus, 1, right parenthesis0.8(−5w−0.8)−0.3(0.5w−1)

Answer 1

Let's simplify the expression step by step.

The original expression is:
\[ 0.8(-5w - 0.8) - 0.3(0.5w - 1) \]

1. Distribute \(0.8\) in the first term:
\[
0.8 \cdot (-5w) + 0.8 \cdot (-0.8) = -4w - 0.64
\]

2. Distribute \(-0.3\) in the second term:
\[
-0.3 \cdot (0.5w) + (-0.3) \cdot (-1) = -0.15w + 0.3
\]

3. Combine both results:
\[
(-4w - 0.64) + (-0.15w + 0.3) = -4w - 0.15w - 0.64 + 0.3
\]

4. Combine the like terms:
- Combine the \(w\) terms:
\[
-4w - 0.15w = -4.15w
\]
- Combine the constant terms:
\[
-0.64 + 0.3 = -0.34
\]

So, the simplified expression is:
\[ -4.15w - 0.34 \]