
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 $\mathbf{C}$ and $\mathbf{D}$ be matrices such that
\[\mathbf{C} + \mathbf{D} = \mathbf{C} \mathbf{D}.\]
If $\mathbf{C} \mathbf{D} = \begin{pmatrix} 10 & 3 \\ -2 & 5 \end{pmatrix},$ find $\mathbf{D} \mathbf{C}.$

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