
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

...

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Fifteen students are taking both algebra and drafting classes. There are 30 students taking algebra, and there are 12 students who are taking drafting only. Additionally, there are eight students taking a geography class, of these, two students are also taking both algebra and drafting. How many students are taking algebra or drafting but not both, and not taking geography?

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