
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 point $P(a,b)$ in the $xy$-plane is first rotated clockwise by $180^\circ$ around the origin $(0,0)$ and then reflected about the line $y = -x$. The image of $P$ after these transformations is at $(9,-4)$. Calculate the value of $b-a$.

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