
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 \(D\) be the circle with the equation \(x^2 - 8x + y^2 + 14y = -28\). Determine the coordinates of the center \((c, d)\) of \(D\) and its radius \(s\), then calculate \(c + d + s\).

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