
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 $a$, $b$, $c$, $m$, $n$ be real numbers. If $mx^{2}-nx+3=a\left(x-1\right)^{2}+b\left(x-1\right)+c$ holds for all $x\in \mathbb{R}$, then $a-b+c=\_\_\_\_\_\_$.

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