
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 weight statistics of each bag of laundry detergent are shown in the table below (unit: grams):

| Bag Number | 1    | 2    | 3    | 4    | 5    | 6    | 7    | 8    |
|------------|------|------|------|------|------|------|------|------|
| Weight     | 444  | 447  | 448  | 450  | 451  | 454  | 455  | 449  |

$(1)$ Based on the factory's quality standards, the inspector simplified the calculations by treating the excess weight as positive and the deficient weight as negative. The incomplete table is shown below. Please complete the table:

| Bag Number | 1    | 2    | 3    | 4    | 5    | 6    | 7    | 8    |
|------------|------|------|------|------|------|------|------|------|
| Weight     | ____ | ____ | -2   | ____ | ____ | +4   | ____ | ____ |

$(2)$ The factory stipulates that if the excess or deficiency in weight is greater than 4 grams, the product cannot be sold. If the price of each bag of laundry detergent is $8.6, 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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