To simplify this expression, we first need to find a common denominator for each set of fractions.

For the first set of fractions:
(21/31 - 16/7)

The common denominator for 31 and 7 is 31 * 7 = 217. So we rewrite the fractions with this common denominator:
(21/31 * 7/7 - 16/7 * 31/31)
(147/217 - 496/217)
(-349/217)

For the second set of fractions:
(44/53 - 10/(-31) - (-9)/53)

The common denominator for 53 and -31 is 53 * -31 = -1643. So we rewrite the fractions with this common denominator:
(44/53 * -31/-31 - 10/-31 * 53/53 - (-9)/53 * -31/-31)
(-1364/-1643 - (-530)/-1643 - 279/-1643)
(1364/1643 + 530/1643 + 279/1643)
(2173/1643)

Now we can add the two simplified fractions together:
(-349/217) + (2173/1643)

To add these fractions, we need to find a common denominator, which is 217 * 1643 = 356231. So we rewrite the fractions with this common denominator:
(-349/217 * 1643/1643) + (2173/1643 * 217/217)
(-570707/356231 + 471191/356231)
(-99516/356231)

Therefore, the final simplified expression is -99516/356231.