
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
Let $M_{(1)} = -2$, $M_{(2)} = (-2) \times (-2)$, $M_{(3)} = (-2) \times (-2) \times (-2)$, ..., and $M_{(n)} = (-2) \times (-2) \times \ldots \times (-2)$ ($n$ factors of $-2$).  
(1) Compute: $M_{(5)} + M_{(6)}$;  
(2) Find the value of $2M_{(2015)} + M_{(2016)}$;  
(3) Explain why $2M_{(n)}$ and $M_{(n+1)}$ are opposite numbers.

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