
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 company's tonnage of goods entering and leaving the warehouse over $6$ days is as follows: ("$+$" indicates goods entering the warehouse, "$-$" indicates goods leaving the warehouse)<br/>$+31$,$-32$,$-16$,$+35$,$-38$,$-20$.<br/>$(1)$ After these $6$ days, the goods in the warehouse have ______$(fill in whether increased or decreased)$.<br/>$(2)$ After these $6$ days, the warehouse manager found that there were still $460$ tons of goods in the warehouse. How many tons of goods were in the warehouse $6$ days ago?<br/>$(3)$ If the loading and unloading fees for each ton are $5$ yuan, how much will be paid for loading and unloading fees in these $6$ days?

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