
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
Let $M$ and $J$ be the amounts of their bills, and let $t_M$ and $t_J$ be the amounts of the tips given by Mike and Joe, respectively. Given that $t_M = 0.1M$ and $t_J = 0.2J$, and the tips given by Mike and Joe are each $2$ dollars, calculate the difference between their bills $M$ and $J$.

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