Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: Thirteen blue and six green hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of green tiles with the same size and shape as the others, what will be the difference between the total number of green tiles and the total number of blue tiles in the new figure? [asy]
/* AMC8 2004 #15 Problem */
path hex=rotate(30)*(dir(360)--dir(60)--dir(120)--dir(180)--dir(240)--dir(300)--cycle);
pen lightcolor=lightgreen;
pen darkcolor=heavyblue;
filldraw(hex, darkcolor,black);
filldraw(shift(sqrt(3),0)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*2,0)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*2.5,1.5)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*3,3)*hex,darkcolor,black);
filldraw(shift(sqrt(3)*2.5,4.5)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*2,6)*hex, darkcolor,black);
filldraw(shift(sqrt(3),6)*hex, darkcolor,black);
filldraw(shift(0,6)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*-0.5,4.5)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*-1,3)*hex, darkcolor,black);
filldraw(shift(sqrt(3)*-0.5,1.5)*hex, darkcolor,black);
filldraw(shift(sqrt(3),3)*hex,darkcolor,black);
filldraw(shift(sqrt(3)*.5,1.5)*hex,lightcolor,black);
filldraw(shift(sqrt(3)*1.5,1.5)*hex,lightcolor,black);
filldraw(shift(sqrt(3)*2,3)*hex,lightcolor,black);
filldraw(shift(sqrt(3)*1.5,4.5)*hex,lightcolor,black);
filldraw(shift(sqrt(3)*.5,4.5)*hex,lightcolor,black);
filldraw(shift(0,3)*hex,lightcolor,black);
[/asy]
user