
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
Three circles, each with a radius of $4$, have their centers at $(15, 93)$, $(18, 77)$, and $(20, 85)$. A line passing through $(18,77)$ splits the total area of the three circles such that the area on one side of the line is equal to the area on the other side. What is the absolute value of the slope of this line?

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