Question

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

a−2b
A minus 2 b

−a+−7b
negative A plus negative 7 b

a+7b
A plus 7 b

a−5b

Answer 1

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

1. Distribute \( 3 \) into \( (a - 2b) \):
\[
3(a - 2b) = 3a - 6b
\]

2. Now replace that into the original expression:
\[
3a - 6b - 2a + b
\]

3. Combine like terms (the terms with \( a \) and the terms with \( b \)):
- For \( a \):
\[
3a - 2a = 1a = a
\]
- For \( b \):
\[
-6b + b = -5b
\]

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

Thus, the expression equivalent to \( 3(a - 2b) - 2a + b \) is \( a - 5b \).

The correct response is:
**a−5b**