Final answer:
To simplify the expression 2(x - 24)/8 - (ax - 24)/4b - (2x - 3)/(x - 3), divide the first term by 2, leave the second term as is, and cancel out the common factor in the third term.
Step-by-step explanation:
To simplify the expression 2(x - 24)/8 - (ax - 24)/4b - (2x - 3)/(x - 3), we can start by simplifying each term individually.
For the first term, 2(x - 24)/8, we can simplify by dividing both the numerator and denominator by 2. This gives us (x - 24)/4.
For the second term, (ax - 24)/4b, we can't simplify further since the variables remain in the numerator.
For the third term, (2x - 3)/(x - 3), we can simplify by canceling out the common factor of (x - 3) in the numerator and denominator. This gives us 2/(x - 3).
Putting it all together, the simplified expression is (x - 24)/4 - (ax - 24)/4b - 2/(x - 3).