Question

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

a−5b
A minus 5 b

a+7b
A plus 7 b

−a+−7b
negative A plus negative 7 b

a−2b

Answer 1

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

1. Distribute the 3 into the first part of the expression:
\[
3(a - 2b) = 3a - 6b
\]

2. Now, substitute back into the expression:
\[
3a - 6b - 2a + b
\]

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

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

Thus, the expression equivalent to \(3(a - 2b) - 2a + b\) is:
\[
\boxed{a - 5b}
\]