
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
Consider three identical point charges initially positioned at the vertices of an isosceles triangle with two sides of length $d$ and a base of $2d$. This configuration stores 18 Joules of energy. How much energy, in Joules, would be stored if one of these charges was relocated to the midpoint of the base?

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