Which expression is equivalent to 3(a−2b)−2a+b

Question

?(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