
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
Cleo derives utility from the equation $$\text{Utility} = \text{hours of reading} \times \text{hours of painting}.$$ On Saturday, she paints for $t$ hours and reads for $10 - 2t$ hours. On Sunday, to get the same amount of utility as on Saturday, she spends $5 - t$ hours painting and $2t + 4$ hours reading. Find the value of $t$. Answer as a fraction in lowest terms.

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