
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 the sum of the first $n$ terms of the sequence ${a_{n}}$ is $S_{n}$, and $a_{1}=0$, for any $n∈N^{*}$, there is $na_{n+1}=S_{n}+n(n+1)$.

(1) Find the general term formula of the sequence ${a_{n}}$;

(2) If the number ${b_{n}}$ satisfies $a_{n}+log_{3}n=log_{3}b_{n}$, find the sum of the first $n$ terms of the sequence ${b_{n}}$, denoted as $T_{n}$.

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