-6*(-3 2/6+5 7/12)

To solve this expression, we first need to simplify the terms inside the parentheses, and then multiply the result by -6.

First, let's convert the mixed numbers to improper fractions: -3 2/6 = -3 1/3 = -11/3 5 7/12 = 5 7/12 = 67/12

Now, let's add the fractions: -11/3 + 67/12 = -44/12 + 67/12 = 23/12

Next, let's multiply by -6: -6 * 23/12 = -138/12 = -11.5

Therefore, the solution to the expression -6 * (-3 2/6 + 5 7/12) is -11.5.