0.6[j-2]=0.3j

Solution for 0.6[j-2]=0.3j equation:

Simplifying
0.6[j + -2] = 0.3j

Reorder the terms:
0.6[-2 + j] = 0.3j
[-2 * 0.6 + j * 0.6] = 0.3j
[-1.2 + 0.6j] = 0.3j

Solving
-1.2 + 0.6j = 0.3j

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-0.3j' to each side of the equation.
-1.2 + 0.6j + -0.3j = 0.3j + -0.3j

Combine like terms: 0.6j + -0.3j = 0.3j
-1.2 + 0.3j = 0.3j + -0.3j

Combine like terms: 0.3j + -0.3j = 0.0
-1.2 + 0.3j = 0.0

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.3j = 0.0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.3j = 0.0 + 1.2
0.3j = 0.0 + 1.2

Combine like terms: 0.0 + 1.2 = 1.2
0.3j = 1.2

Divide each side by '0.3'.
j = 4

Simplifying
j = 4