
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 $C'$ be the circle with equation $x^2 - 14x + y^2 + 16y + 100 = 0$. If $(a', b')$ is the center of $C'$ and $r'$ is its radius, what is the value of $a'+b'+r'$?

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