
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
Given that a school spent $6000$ yuan to purchase the first batch of flour, and another $9600$ yuan to purchase the second batch of flour, where the quantity of the second batch is $1.5$ times the quantity of the first batch, and the price per kilogram of flour increased by $0.4$ yuan, determine the equation for the quantity of the first batch of flour in kilograms.

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