
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
An infinite geometric series has a first term of $15$ and a second term of $9.$ A second infinite geometric series has the same first term of $15,$ a second term of $9+m,$ and a sum of three times that of the first series. Find the value of $m.$

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