
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 $S_{n}=2a_{n}-2$.

(1) Find the general term formula of the sequence ${a_{n}}$.
(2) Let $b_{n}=a_{n} \cdot \log_{2}a_{n}$, 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}
user