
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
The energy stored by any pair of positive charges is inversely proportional to the distance between them and directly proportional to their charges. Three identical point charges begin at the vertices of an equilateral triangle, storing 15 Joules of energy in this configuration. Assume each side of the triangle is doubled. How much energy in Joules would be stored in this new configuration?

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