Question

Which expression is equivalent to 3(a−2b)−2a+b
?(1 point)
Responses

a+7b
A plus 7 b

a−2b
A minus 2 b

a−5b
A minus 5 b

−a+−7b

Answer 1

To simplify the expression \(3(a - 2b) - 2a + b\), let's follow the steps:

1. Distribute the \(3\) in \(3(a - 2b)\):
\[
3a - 6b
\]

2. Combine this with the other terms in the expression:
\[
3a - 6b - 2a + b
\]

3. Combine like terms:
- For the \(a\) terms: \(3a - 2a = 1a\) or simply \(a\)
- For the \(b\) terms: \(-6b + b = -5b\)

Putting it all together, we get:
\[
a - 5b
\]

Thus, the equivalent expression is \(a - 5b\).

The correct response is:
**a − 5b**.