
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 an ellipse centered at (-3, 4) with a semi-major axis of 7 and a semi-minor axis of 2. Write the equation of this ellipse and calculate the sum of the coordinates of the center and the lengths of the axes.

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