
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
Four circles, each of radius $5$, are drawn with centers at $(10, 150)$, $(15, 130)$, $(20, 145)$, and $(25, 120)$. A line passing through $(15, 130)$ divides the total area of the four circles such that the sum of the areas on one side of the line is equal to the sum of the areas on the other side of the line. What is the absolute value of the slope of this line?

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