
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
Adam and Mada are playing a game of one-on-one basketball, in which participants may take  $2$ -point shots (worth  $2$  points) or  $3$ -point shots (worth  $3$  points). Adam makes  $10$  shots of either value while Mada makes  $11$  shots of either value. Furthermore, Adam made the same number of  $2$ -point shots as Mada made  $3$ -point shots. At the end of the game, the two basketball players realize that they have the exact same number of points! How many total points were scored in the game?

*2017 CCA Math Bonanza Lightning Round #2.1*

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