
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
The function $f(x)$ is an even function defined on $R$. $f(x-1)$ is an odd function, and when $0 \lt x\leqslant 1$, $f(x)=\log_{2024}\frac{1}{x}$. Find $f(2025)+f(-\frac{1}{2024})$.

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