Question

Which expression is equivalent to 3(a−2b)−2a+b ?(1 point) Responses −a+−7b negative A plus negative 7 b a+7b A plus 7 b a−5b A minus 5 b a−2b

Answer 1

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

1. Distribute \(3\) in the first term:
\[
3(a) - 3(2b) = 3a - 6b
\]

2. Rewrite the expression:
\[
3a - 6b - 2a + b
\]

3. Combine the \(a\) terms:
\[
3a - 2a = a
\]

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

So, the expression simplifies to:
\[
a - 5b
\]

Thus, the equivalent expression is \(a - 5b\).