
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
Eight students from a certain school participated in a math competition. The average score they obtained was 82.5 points, and student $A$ scored 86 points. If student $A$ had scored only 74 points, by how much would their average score have decreased?

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