
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
Seven people each take a group of sheep to graze in the wild. The number of sheep (unit: head) grazed by each person is $a_{1}$, $a_{2}$, $a_{3}$, $a_{4}$, $a_{5}$, $a_{6}$, $a_{7}$, which form an arithmetic sequence. If $a_{1}+a_{2}+a_{3}=33$ and $2a_{2}+9=a_{7}$, calculate the total number of sheep grazed by these seven people.

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