
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 two identical bottles are filled with alcohol solutions, one with a ratio of alcohol to water of $m:1$ and the other with a ratio of $n:1$, determine the ratio of alcohol to water in the mixture when the two solutions are combined.

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