
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, \( b \) think it will be the same, and \( c \) think it will be worse. Sociologists constructed two "optimism" indicators of the respondents: \( m = a + \frac{b}{2} \) 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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