Question

Rewrite in simplest terms: 6, left parenthesis, 0, point, 2, a, minus, 0, point, 8, b, right parenthesis, plus, 4, b, minus, 8, left parenthesis, minus, 0, point, 1, b, plus, 0, point, 6, a, right parenthesis6(0.2a−0.8b)+4b−8(−0.1b+0.6a)

Answer 1

To simplify the expression \( 6(0.2a - 0.8b) + 4b - 8(-0.1b + 0.6a) \), follow these steps:

1. Distribute the 6 and the -8:
\[
6(0.2a - 0.8b) = 1.2a - 4.8b
\]
\[
-8(-0.1b + 0.6a) = 0.8b - 4.8a
\]

2. Combine all the terms in the expression:
\[
1.2a - 4.8b + 4b + 0.8b - 4.8a
\]

3. Group the \( a \) terms and the \( b \) terms:
- For the \( a \) terms: \( 1.2a - 4.8a = -3.6a \)
- For the \( b \) terms: \( -4.8b + 4b + 0.8b = -0.0b = 0 \)

4. So, the simplified expression is:
\[
-3.6a
\]

Thus, the final answer is:
\[
-3.6a
\]