
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
Expand the x-coordinates of each point on the graph of the function $f(x)= \sqrt{2}\sin \left(2x- \frac{\pi}{4}\right)$ by a factor of $4$ (the y-coordinates remain unchanged), and then shift the resulting graph to the left by $\frac{\pi}{3}$ units to obtain the graph of the function $g(x)$. Then, determine the decreasing interval for the function $g(x)$.

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