
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
The equation of the ellipse given in the graph is
\[\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1.\]
Determine the value of $h + k + a + b$ if the center of the ellipse is at $(3, -5)$, the length of the semi-major axis is 7, and the length of the semi-minor axis is 4.

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