Mind your C's and D's

C+CCD4 \begin{array} {c c c } & & \color{#20A900}{C} \\ + & \color{#20A900}{C} & \color{#20A900}{C} \\ \hline & \color{#69047E}{D} & 4 \\ \end{array}

In the above cryptogram, C\color{#20A900}{C} and D\color{#69047E}{D} represent distinct digits. What is the value of C \color{#20A900}{C} ?

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