A magician said to an audience member:
- Pick a number,
- Double it,
- Add 7,
- Multiply it by 5,
- Subtract the number you started with,
- Remove any non-zero digit from the answer,
and then tell me the remaining digits in any order.
The audience member said
6 and 8.
And the magician announced,
The digit you removed was 3, right?
The magician is right! Why? Justify!
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