
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 vectors $\overrightarrow {a}$=(3,1) and $\overrightarrow {b}$=(m,2), if ($\overrightarrow {a}$+$\overrightarrow {b}$) is perpendicular to $\overrightarrow {a}$, find the value of the real number m.

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