
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 equation \(x^2 + 4y - 16 = -y^2 + 24x + 16\). Find the value of \(a + b + r\) where \((a, b)\) is the center of \(D\) and \(r\) is its radius.

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