
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
In a class of $20$ students, $20\%$ are juniors and $80\%$ are seniors. The overall average score on the test was $78$. Each junior scored points in such a way that their scores form a consecutive arithmetic sequence with a common difference of $2$, and the average score of the seniors was $75$. What is the score of the highest-scoring junior?

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