
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
By mixing $2 \mathrm{~cm}^{3}$ of three substances, a mixture weighing 16 g was obtained. It is known that $4 \mathrm{r}$ of the second substance occupies a volume that is $0.5 \mathrm{~cm}^{3}$ greater than $4 \mathrm{r}$ of the third substance. Find the density of the third substance, given that the mass of the second substance in the mixture is twice the mass of the first substance.

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