
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
Solve the recurrence relations:
$$
\left\{
\begin{array}{l}
a_{n+1}=3a_{n}+b_{n}-4 \\
b_{n+1}=2a_{n}+2b_{n}+2
\end{array} \quad (n \geqslant 0), \, a_{0}=4, \, b_{0}=0.
\right.
$$

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