
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
At a dance function, a group of boys and girls exchange dances such that the first boy dances with $6$ girls, the second boy dances with $7$ girls, and this pattern continues until the final boy dances with every girl. Letting $b$ represent the number of boys and $g$ represent the number of girls, determine the relationship between $b$ and $g$.
A) \( b = g \)
B) \( b = \frac{g}{5} \)
C) \( b = g - 5 \)
D) \( b = g - 6 \)
E) \( b = g + 5 \)

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