Question

Which expression is equivalent to 3 (a - 2b) - 2a + b? (1 point)
• a + 7b
—a + -7b
• а - 5b
• а - 2b

Answer 1

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

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

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

3. Combine the like terms (the terms with \(a\) and the terms with \(b\)):
- For \(a\): \(3a - 2a = a\)
- For \(b\): \(-6b + b = -5b\)

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

Therefore, the expression equivalent to \(3(a - 2b) - 2a + b\) is:
\[
\boxed{a - 5b}
\]