
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Points $A$ and $B$ are located at (3, 2) and (9, 18) respectively. Point $N$ is the midpoint of segment $\overline{AB}$. Segment $\overline{AB}$ is first reflected over the y-axis followed by a reflection over the x-axis. What is the sum of the coordinates of the image of point $N$ after these reflections?

Present the answer in LaTex format: \boxed{Your answer}
user