
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
One hundred people answered the question: "Will the new president be better than the previous one?" Among them, $a$ people think it will be better, $b$ people think it will be the same, and $c$ people think it will be worse. Sociologists developed two indicators of the respondents' "optimism": $m = a + b / 2$ and $n = a - c$. It turned out that $m = 40$. Find $n$.

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