Solve the equation, if possible. -3|6n - 2| + 5 = 8

-3|6n - 2| + 5 = 8
-3 |6n-2| = 8 - 5
-3 | 6n - 2| = 3
|6n - 2| = 3/-3
|6n - 2| = -1

6n - 2 = -1                 -(6n - 2) = -1
6n = -1 + 2                 -6n + 2 = -1
6n = 1                         -6n = -1-2
n = 1/6                        -6n = -3
                                     n = 1/2

so n = 1/6 and n = 1/2

You said                                   -3 |6n - 2| + 5  =  8

Subtract 5 from each side:     -3 |6n - 2|         =  3

Divide each side by  -3:              |6n - 2|          = -1

An absolute value is always positive, so  |6n - 2|  can't be -1.
No value for 'n' can make the equation a true statement.
The equation has no solution.