
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
Given that $\left(a+10\right)x^{3}+cx^{2}-2x+5$ is a quadratic polynomial in terms of $x$, and real numbers $a$, $b$, $c$ satisfy $\left(c-18\right)^{2}=-|a+b|$, find $a-b+c$.

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