
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
A pizza with 24 slices is made with three toppings: ham, pineapple, and jalapeno. Every slice has at least one topping. Exactly 15 slices are topped with ham, 10 slices are topped with pineapple, and 14 slices are topped with jalapeno. If we know that the number of slices having all three toppings is equal to the number of slices with only jalapeno, determine how many slices have all three toppings.

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