Use the properties of operations and rules for multiplying and dividing to solve:

(-3) : (4) × (7) × (-6) = (7)

To solve the expression (-3) : (4) × (7) × (-6) = (7), we can use the properties of operations and rules for multiplying and dividing.

First, we solve the division: (-3) : (4) = -3/4.

Therefore, the expression becomes (-3/4) × (7) × (-6) = (7).

Next, we multiply the fractions: (-3/4) × (7) × (-6) = 7.

Hence, the expression (-3) : (4) × (7) × (-6) is equal to 7.