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

To simplify the expression \( 3(a - 2b) - 2a + b \), we will start by expanding it and then combining like terms.

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

2. Now rewrite the expression with the distributed part: \[ 3a - 6b - 2a + b \]

3. Combine like terms (the \( a \) terms and the \( b \) terms):

   • Combine \( 3a \) and \( -2a \): \[ 3a - 2a = a \]
   • Combine \( -6b \) and \( +b \): \[ -6b + b = -5b \]

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

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

The correct response is:

a - 5b