
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
Samson derives utility according to the relation $$\text{Utility} = (\text{hours of math done} + 2) \times \text{hours of frisbee played}.$$ On one particular day, he plays $s$ hours of frisbee and spends $10 - 2s$ hours doing math. The following day, he manages to get the same amount of utility while spending $3-s$ hours playing frisbee and $2s+4$ hours on math. Find $s$.

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