Question

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

a+7b
A plus 7 b

a−5b
A minus 5 b

a−2b
A minus 2 b

−a+−7b

Answer 1

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

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

2. Substitute this back into the expression:
\[
3a - 6b - 2a + b
\]

3. Combine like terms, starting with the \( a \) terms:
\[
3a - 2a = a
\]

4. Combine the \( b \) terms:
\[
-6b + b = -5b
\]

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

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

The correct answer is:
**a - 5b**