
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
On Sunday, Xiao Hong from Class 1$\cdot$3 visited the Jinfo Mountain Oil Rice Processing Factory for ecological protection and found an uncle inspecting a batch of rice with the same packaging. He weighed 6 pieces of rice extracted and recorded as follows: $-1$, $-2$, $+1$, $+1$, $+2$, $+1$ (unit in kilograms).<br/>$(1)$ If the standard weight of each rice is $a$ kilograms according to the rice manual, what does the uncle's record of "$+2$" mean based on your knowledge?<br/>$(2)$ If the standard weight of each rice is $a$ kilograms, what is the total weight of these 6 pieces of rice weighed? If the market price of this rice is $n$ yuan per kilogram, what is the total price of these 6 pieces of rice extracted? (Express in algebraic expressions)<br/>$(3)$ Xiao Ying learned from the uncle that the standard weight of this product is $a=10$ kilograms, and the market price of this product is $n=6$ yuan per kilogram. What is the total price of these 6 pieces of rice extracted?

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