
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
The cost prices of three types of clothing, A, B, and C, are respectively 20 yuan, 30 yuan, and 40 yuan. Their selling prices are 24 yuan, m yuan, and 52 yuan, respectively. After calculation, the total profit from the three types of clothing is the same, and the sum of the sales volumes of clothing A and B is four times the sales volume of clothing C. Determine the value of m.

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