
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
Translate the function $f(x) = \sin(2x + \theta)$ to the right by $\varphi$ units to obtain the graph of function $g(x)$, where $-\frac{\pi}{2} < \theta < \frac{\pi}{2}$ and $0 < \varphi < \pi$, given that both graphs of $f(x)$ and $g(x)$ pass through the point $P(0, \frac{\sqrt{3}}{2})$. Determine the value of $\varphi$.

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