
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
Two identical conducting spheres are placed at a large distance from each other and have positive charges \( Q_{1} \) and \( Q_{2} \). An uncharged metallic ball hanging on a non-conducting thread is brought close to the first sphere and touched to it. Then the ball is brought close to the second sphere and touched to it. After these actions, the charge of the ball becomes \( q_{2} \). Find the charge of the second sphere after all the manipulations.

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