Question

minus, 8, left parenthesis, 0, point, 9, w, plus, 6, w, minus, 0, point, 7, right parenthesis, minus, 0, point, 3, w−8(0.9w+6w−0.7)−0.3w

Answer 1

To simplify the expression \(-8(0.9w + 6w - 0.7) - 0.3w\), we will follow the order of operations and then combine like terms.

1. First, simplify the expression inside the parentheses:
\[
0.9w + 6w - 0.7 = (0.9 + 6)w - 0.7 = 6.9w - 0.7
\]

2. Now, substitute this back into the expression:
\[
-8(6.9w - 0.7) - 0.3w
\]

3. Next, distribute \(-8\) across the terms inside the parentheses:
\[
-8 \times 6.9w + 8 \times 0.7 = -55.2w + 5.6
\]
Thus, the expression now becomes:
\[
-55.2w + 5.6 - 0.3w
\]

4. Combine the like terms \(-55.2w\) and \(-0.3w\):
\[
-55.2w - 0.3w = -55.5w
\]

5. Therefore, the final simplified expression is:
\[
-55.5w + 5.6
\]

So, the simplified form of the original expression is:
\[
\boxed{-55.5w + 5.6}
\]