Question

minus, 6, left parenthesis, 0, point, 6, w, minus, 3, w, minus, 0, point, 9, right parenthesis, minus, 0, point, 9, w−6(0.6w−3w−0.9)−0.9w

Answer 1

Let's simplify the expression step by step:

1. **Start with the original expression:**
\[
-6(0.6w - 3w - 0.9) - 0.9w
\]

2. **Combine terms inside the parentheses:**
- Combine \(0.6w\) and \(-3w\):
\[
0.6w - 3w = -2.4w
\]
- So now, we have:
\[
-6(-2.4w - 0.9) - 0.9w
\]

3. **Distribute \(-6\) across \(-2.4w - 0.9\):**
\[
-6 \cdot -2.4w = 14.4w
\]
\[
-6 \cdot -0.9 = 5.4
\]
- Now the expression becomes:
\[
14.4w + 5.4 - 0.9w
\]

4. **Combine like terms:**
- Combine \(14.4w\) and \(-0.9w\):
\[
14.4w - 0.9w = 13.5w
\]
- The entire expression now is:
\[
13.5w + 5.4
\]

Thus, the simplified form of the expression is:
\[
\boxed{13.5w + 5.4}
\]