
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
Daniel derives utility according to the relation $$\text{Utility} = \text{hours of reading} \times \text{hours of soccer played}.$$ On Wednesday he plays \( t \) hours of soccer and spends \( 10 - t \) hours reading. On Thursday, he ends up getting the same amount of utility as Wednesday while spending \( 4 - t \) hours playing soccer and \( t+4 \) hours reading. Find \( t \). Answer as a fraction in lowest terms.

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