Solve the mathematical problem involving absolute value. 3 - I 2/3 x -6 I + 2

9 -3 1 -21

To solve this problem, we need to perform the operations inside the absolute value first, and then calculate the absolute value.

We have 3 - I 2/3 x -6 I + 2.

Performing the multiplication inside the absolute value:
= 3 - I -4 I + 2 (since -6 multiplied by 2/3 is -4)
= 3 + 4 + 2 (since the absolute value of -4 and I -4 is 4)
= 9

Therefore, the solution to the mathematical problem is 9.