
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
In a school, there are $4$ times as many boys as girls and $8$ times as many girls as teachers. If $b$, $g$, $t$ represent the number of boys, girls, and teachers respectively, find the expression for the total number of boys, girls, and teachers.

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