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

Question

?(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: \[ \boxed{a - 5b} \]