
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 quality inspection department randomly selected 8 bags of laundry detergent produced by a laundry powder factory in September. The standard weight of each bag of laundry detergent is 450 grams. The excess weight is recorded with a "+" sign, and the weight deficiency is recorded with a "-" sign. The records are as follows: -6, -3, -2, 0, +1, +4, +5, -1.  
$(1)$ Calculate the total weight of the 8 bags of laundry detergent.  
$(2)$ The manufacturer stipulates that if the excess or deficiency exceeds 4 grams, the product cannot be sold. If the price of each bag of laundry detergent is 3 yuan, calculate the total sales amount of qualified products among these 8 bags of laundry detergent.

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