
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
In the complex plane, consider two points given by $-5 + 7i$ and $7 - 3i$. Determine the complex number corresponding to the midpoint of this line segment. Then, multiply the result by $2i$ to scale and rotate the midpoint in the complex plane.

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