
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 domain of the function $f(x)$ is the set of real numbers $R$, and for all $x \in R$, $f(x-90) = \begin{cases} \log_{10} x, & x > 0 \\ -x, & x \leqslant 0 \end{cases}$, find the value of $f(10) - f(-100)$.

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