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To simplify the expression, first calculate the fractions inside the parentheses:
(9/7 - 12/7) = (9 - 12)/7 = -3/7
Now, divide this result by 1/6:
(-3/7) / (1/6) = (-3/7) * (6/1) = -18/7
Therefore, the value of the expression is -18/7.