
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
A dishonest seller attached a nut to one side of a balanced scale, causing it to overstate the weight. First, a large apple was placed on the scale, and it showed 300 grams. Then, a small apple was placed on the scale, and it showed 200 grams. When both apples were placed on the scale together, it showed 480 grams. How many grams does the nut weigh?

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