
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
Simplify:<br/>$(1)+\left(-0.5\right)$;<br/>$(2)-\left(+10.1\right)$;<br/>$(3)+\left(+7\right)$;<br/>$(4)-\left(-20\right)$;<br/>$(5)+|-\frac{2}{3}|$;<br/>$(6)-|-\frac{4}{5}|$;<br/>$(7)+\left[-\left(-10\right)\right]$;<br/>$(8)-[-(-2\frac{6}{7})]$.

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