To simplify this expression, we need to perform the operations within the parentheses first.

Inside the first set of parentheses, we have:

5/8 - 4/9

To subtract fractions, we need a common denominator. The least common multiple of 8 and 9 is 72. So, we can rewrite the expression as:

(5/8)(9/9) - (4/9)(8/8)
= 45/72 - 32/72
= (45 - 32)/72
= 13/72

Inside the second set of parentheses, we have:

-5/8 - 3/11

To subtract fractions, we need a common denominator. The least common multiple of 8 and 11 is 88. So, we can rewrite the expression as:

(-5/8)(11/11) - (3/11)(8/8)
= -55/88 - 24/88
= (-55 - 24)/88
= -79/88

Now, we can substitute these values back into the original expression:

-3/11 - (13/72) - (-5/8 - 3/11)

= -3/11 - 13/72 - (-5/8 - 3/11)

= -3/11 - 13/72 + 5/8 + 3/11

Now, we need to find a common denominator for these fractions. The least common multiple of 11, 72, and 8 is 792. So, we can rewrite the expression as:

(-3/11)(72/72) - (13/72)(11/11) + (5/8)(99/99) + (3/11)(72/72)

= -216/792 - 143/792 + 495/792 + 216/792

= (-216 - 143 + 495 + 216)/792

= 352/792

Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:

(352/8)/(792/8)

= 44/99

Therefore, -3/11 - (5/8 - 4/9) - (-5/8 - 3/11) simplifies to 44/99.