
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 Alice and Bob shared a large pizza cut into 12 equally-sized slices, the cost of the plain pizza was $12, and there was an additional cost of $4 to add olives to three slices, find the difference in the amount Bob paid and the amount Alice paid, after Bob ate all the olive-topped slices and 3 slices of the plain pizza, and Alice ate the rest of the slices.

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