
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 the eighth volume of "Nine Chapters on the Mathematical Art," in the chapter on "Equations," it is recorded: "There are six sparrows and seven swallows, when gathered together they are in balance. The sparrows are all heavy, and the swallows are all light. If one sparrow and one swallow are exchanged, the balance is maintained." This means: six sparrows are heavier than seven swallows. If one bird from each group is exchanged, the two groups of birds will weigh the same. Assuming one swallow weighs $a$ grams, express the weight of one sparrow in terms of $a$ as ____ grams.

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