
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
Given ${(1-2x)}^{n}={a}_{0}+{a}_{1}x+{a}_{2}{x}^{2}+⋯{a}_{n}{x}^{n}$, if $a_{7}+a_{8}=0$.<br/>$(1)$ Find the value of $n$;<br/>$(2)|a_{1}|+|a_{2}|+\cdots |a_{n}|$. (The result can be expressed in terms of powers)

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