
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 odd function f(x) defined on R satisfies f(x+2) + f(2-x) = 0, and when x ∈ (-2, 0), f(x) = log<sub>2</sub>(x+3) + a. If f(9) = 2f(7) + 1, then the value of the real number a is ( ).

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