
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
Let ▱$ABCD$ be a quadrilateral in the complex plane, where $A$ is the origin. The complex numbers corresponding to points $B$ and $D$ are $3+2i$ and $2-4i$, respectively. The complex number corresponding to point $C$ is ______.

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