
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
Let the number of boys in the class be b, and the number of girls be g. Given that three-fourths of the boys and half of the girls passed the handwriting test, and the numbers of boys and girls who passed are equal, determine the minimum possible total number of students in the class.

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