
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
The sum of the first $n$ terms of the arithmetic sequences ${a_n}$ and ${b_n}$ are $S_n$ and $T_n$ respectively. If $$\frac {S_{n}}{T_{n}}= \frac {2n+1}{3n+2}$$, find the value of $$\frac {a_{3}+a_{11}+a_{19}}{b_{7}+b_{15}}$$.

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