
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 $r$, $g$, and $b$ be the number of red, green, and blue marbles in the jar, respectively. Given that all but $6$ are red marbles, $r = 6$, all but $8$ are green marbles, $g=8$, and all but $4$ are blue marbles, $b=4$. Find $r + g + b$.

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