
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
Two arithmetic sequences $\{a_{n}\}$ and $\{b_{n}\}$ have the sums of the first $n$ terms as $S_{n}$ and $T_{n}$, respectively. It is known that $\frac{{S}_{n}}{{T}_{n}}=\frac{7n+2}{n+3}$. Find $\frac{{a}_{7}}{{b}_{7}}$.

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