To simplify this expression, we will first find the value of (-7/12 + 5/6), and then divide that result by (-1.5/6).

First, let's find the value of (-7/12 + 5/6):

(-7/12 + 5/6)

First, let's find a common denominator for the fractions. The least common denominator between 12 and 6 is 12.

Rewrite the fractions with a common denominator of 12:

(-7/12 + 10/12)

Now combine the fractions:

(-7 + 10)/12
= 3/12
= 1/4

Now we have (1/4) as the result of (-7/12 + 5/6).

Now, we divide that result by (-1.5/6):

(1/4) / (-1.5/6)

To divide fractions, we take the reciprocal of the second fraction and multiply:

(1/4) (-6/1.5)
= (1 -6) / (4 * 1.5)
= -6 / 6
= -1

Therefore, the final answer is -1.