
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 that in △ABC and point M, $$\overrightarrow {MA}+ \overrightarrow {MB}+ \overrightarrow {MC}=\overrightarrow {0}$$, if there exists a real number m such that $$\overrightarrow {AB}+ \overrightarrow {AC}=m \overrightarrow {AM}$$ holds, then find the value of m.

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