To solve this expression, we must first simplify the addition inside the parentheses:

3 2/5 + 1 3/5 = 4 5/5 = 5

Next, we simplify the subtraction inside the parentheses:

6,7 - 2 2/3 = 6 7/10 - 2 2/3 = 6 21/30 - 8/3 = 6 21/30 - 80/30 = 5 41/30 = 6 11/30

Now, we multiply the result of the addition by 2:

5 + (6 11/30) 2 = 5 + 2(6 11/30) = 5 + 12 22/30 = 17 22/30 = 18 22/30 = 18 11/15

Therefore, the final answer is 18 11/15.