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Which expression is equivalent to 3 (a - 4b) - 2a + b?

-a +11b

a - 11b

-a - 3b

5a - 3b

1 answer

To simplify the expression \(3(a - 4b) - 2a + b\), we will follow these steps:

  1. Distribute \(3\) into \( (a - 4b) \): \[ 3(a - 4b) = 3a - 12b \]

  2. Now substitute back into the expression: \[ 3a - 12b - 2a + b \]

  3. Combine like terms:

    • For the \(a\) terms: \(3a - 2a = 1a = a\)
    • For the \(b\) terms: \(-12b + b = -11b\)

So, the expression simplifies to: \[ a - 11b \]

Thus, the equivalent expression is \(\boxed{a - 11b}\).