To simplify the expression \( 3b - 5a - (b - (a - b)) \), let's break it down step by step.
Start with the inner expression \( a - b \):
- Therefore, \( b - (a - b) = b - a + b = 2b - a \).
Substitute \( 2b - a \) back into the original expression: \[ 3b - 5a - (2b - a) \]
Now distribute the negative sign: \[ 3b - 5a - 2b + a \]
Combine like terms:
- For \( b \) terms: \( 3b - 2b = 1b = b \)
- For \( a \) terms: \( -5a + a = -4a \)
So the final simplified expression is: \[ b - 4a \]
If you need further assistance or have more questions, feel free to ask!