Find the absolute values for z is 3z -i = 2-4i

1) 3z -i = 2 -4i

    4i -i =
2-3z

    3i    = 2-3z

    3i + 3z =
2

    3( i+ z) = 2

        i + z =
2/3

            z = 2/3 -i

2)  3z
-i

    = -3z + i (change the sign)

    
= -3 (z+ i)

    = -3 (2/3) (substitute the value of (i +
z )

    = -2

 3) 3z -i = 2- 4i(
substitute the value above for (3z -i)

          -2 = 2-
4i

            4i= 2+ 2

             i
= 1

4)  3z - 1 = 2 - 4(1)

     3z  -1 =
-2

           3z = -2 +1

             z
= - 1/3 * ( u can check back the answer by substituting z value and i value in the formula
)   The easiest way i know