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

2/11 - 6/7

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 77.

(2/11)(7/7) - (6/7)(11/11)
14/77 - 66/77

Now that the fractions have the same denominator, we can subtract them.

14/77 - 66/77 = (14 - 66)/77 = -52/77

Now we can substitute this result back into the original expression.

11/12 - (-52/77)

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 924.

(11/12)(77/77) - (-52/77)(12/12)
847/924 + 624/924

Now that the fractions have the same denominator, we can add them.

847/924 + 624/924 = (847 + 624)/924 = 1471/924

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 7.

1471/924 = (7 * 211)/(7 * 132) = 211/132

Therefore, 11/12 - (2/11 - 6/7) simplifies to 211/132.