
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 the function $f(x)= \frac {3}{2}\sin 2x+ \frac { \sqrt {3}}{2}\cos 2x+ \frac {π}{12}$, its graph is symmetric about the point $(a,b)$. If $a\in(-\frac {π}{2},0)$, then find the value of $a+b$.

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