8 Shift

A particularly long integer ends with an 8. Shifting this 8 digit to the leftmost position creates a new number which is twice the original. Find the smallest possible value of the original number.

Clarification: This 8-shift procedure looks as follows: 12388123.123{\color{#D61F06}8} \longrightarrow {\color{#D61F06}8}123.

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