To solve the absolute value equation, we try and simplify the equation first:

`-3|6n-2|+5=8` move 5 to other side

`-3|6n-2|=3` divide both sides by -3

`|6n-2|=-1` factor 2 from left side

`2|3n-1|=-1`

**Unfortunately, since the left side of this equation is always positive and the right side of the equation is always negative, we see that the equation has no solution.**

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