Question
0, point, 8, w, minus, 8, left parenthesis, minus, 8, w, minus, 10, right parenthesis0.8w−8(−8w−10)
Answers
GPT-4o mini
To simplify the expression \( 0.8w - 8(-8w - 10) \), we can follow these steps:
1. **Distribute the -8**:
\[
-8(-8w - 10) = -8 \cdot -8w - 8 \cdot -10 = 64w + 80
\]
2. **Combine the original expression with the distributed result**:
\[
0.8w + 64w + 80
\]
3. **Combine like terms for the \( w \) terms**:
\[
0.8w + 64w = 64.8w
\]
Thus the expression simplifies to:
\[
64.8w + 80
\]
This is the final simplified form of the given expression.
1. **Distribute the -8**:
\[
-8(-8w - 10) = -8 \cdot -8w - 8 \cdot -10 = 64w + 80
\]
2. **Combine the original expression with the distributed result**:
\[
0.8w + 64w + 80
\]
3. **Combine like terms for the \( w \) terms**:
\[
0.8w + 64w = 64.8w
\]
Thus the expression simplifies to:
\[
64.8w + 80
\]
This is the final simplified form of the given expression.