Why does multiplying an even number under 10 by 6 give that pattern?

[1MileCrash]

When I was little, I noticed that any even number less than 10 multiplied by 6 ends in itself and leads with one half of itself.

Any meaning behind that, or coincidence?

 

[1MileCrash]

Hah.

I decided to write it like this:

Since it leads with half of itself and ends with itself, I made that a sum by saying it is ten times half itself plus itself.

Or in other words,

6n = (10)(.5)n + n
6n = 5n + n

Oh math, you.

 

[arildno]

Childhood mysteries disenchanted..