
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 Cartesian coordinate plane, triangle $\triangle ABC$ is translated to triangle $\triangle DEF$, and point $A(-2,3)$ coincides with point $D(1,2)$ after the translation. If a point $M(3,-1)$ inside triangle $\triangle ABC$ is translated, the coordinates of the new position of point $M$ are ______.

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