To solve this question, the user needs to know algebraic manipulation and simplification. The user must use the given equation to find the value of w and then substitute it into the expression (2w)2.

First, let's solve for w using the given equation:

13 = 13w/(1-w)

Multiplying both sides by (1-w), we get:

13 - 13w = 13w

Adding 13w to both sides, we get:

13 = 26w

Dividing both sides by 26, we get:

w = 1/2

Now that we have the value of w, we can substitute it into the expression (2w)2:

(2w)2 = (2(1/2))2 = 12

Thus, the correct answer is:

The Answer is: D. 1