
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 two arithmetic sequences \\(\{a_n\}\) and \\(\{b_n\}\) with the sum of the first \\(n\) terms denoted as \\(S_n\) and \\(T_n\) respectively. If \\( \dfrac {S_n}{T_n}= \dfrac {2n}{3n+1}\), then \\( \dfrac {a_2}{b_3+b_7}+ \dfrac {a_8}{b_4+b_6}=\) ______.

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