To solve this equation, we first simplify the terms within parentheses separately before performing any additional operations.

Starting with (-2 + 17/12), we first find a common denominator which in this case would be 12. So, we have:

-2 = -24/12

Therefore, the expression becomes:

(-24/12 + 17/12)

Now we can simplify the addition within the parentheses:

(-24/12 + 17/12) = -7/12

Next, we simplify (3/8 - 1/6), find a common denominator which in this case would be 24:

(3/8 - 4/24)

Now we can simplify the subtraction within the parentheses:

(3/8 - 4/24) = (9/24 - 4/24) = 5/24

Now, we have the following equation:

-7/12 + 5/24 • 4 + 1/3

Next, we solve the multiplication and division from left to right:

(5/24 * 4) = 5/6

Now, the equation becomes:

-7/12 + 5/6 + 1/3

Now, we find a common denominator which is 12:

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

Therefore, the solution to the equation is 7/12.