To simplify the expression \( 6b - (4b - (2b - 5)) \), follow these steps:
Start with the innermost parentheses: \[ 2b - 5 \]
Substitute \( 2b - 5 \) back into the expression: \[ 6b - (4b - (2b - 5)) = 6b - (4b - 2b + 5) \]
Simplify \( 4b - 2b \): \[ 4b - 2b = 2b \]
Now the expression looks like this: \[ 6b - (2b + 5) \]
Distribute the negative sign: \[ 6b - 2b - 5 \]
Combine like terms: \[ (6b - 2b) - 5 = 4b - 5 \]
So, the simplified expression is: \[ \boxed{4b - 5} \]
