
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
Given that \( A_{n} \) and \( B_{n} \) are the sums of the first \( n \) terms of the arithmetic sequences \( \{a_{n}\} \) and \( \{b_{n}\} \) respectively, and that \(\frac{A_{n}}{B_{n}}=\frac{5n-3}{n+9} \), find \(\frac{a_{8}}{b_{8}}\).

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