-5/7 . 2/13 + -5/7 . 3/13 - 5/7 . 8/13

To solve this expression, we need to first simplify each multiplication operation separately:

-5/7 x 2/13 = (-5 x 2) / (7 x 13) = -10 / 91
-5/7 x 3/13 = (-5 x 3) / (7 x 13) = -15 / 91
-5/7 x 8/13 = (-5 x 8) / (7 x 13) = -40 / 91

Now, we can add these results together:

-10/91 - 15/91 - 40/91 = (-10 - 15 - 40) / 91 = -65 / 91

Therefore, the final result is -65/91.