0.3(2j+2)=2.4-(-0.4j-3)

Solution for 0.3(2j+2)=2.4-(-0.4j-3) equation:

Simplifying
0.3(2j + 2) = 2.4 + -1(-0.4j + -3)

Reorder the terms:
0.3(2 + 2j) = 2.4 + -1(-0.4j + -3)
(2 * 0.3 + 2j * 0.3) = 2.4 + -1(-0.4j + -3)
(0.6 + 0.6j) = 2.4 + -1(-0.4j + -3)

Reorder the terms:
0.6 + 0.6j = 2.4 + -1(-3 + -0.4j)
0.6 + 0.6j = 2.4 + (-3 * -1 + -0.4j * -1)
0.6 + 0.6j = 2.4 + (3 + 0.4j)

Combine like terms: 2.4 + 3 = 5.4
0.6 + 0.6j = 5.4 + 0.4j

Solving
0.6 + 0.6j = 5.4 + 0.4j

Solving for variable 'j'.

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

Add '-0.4j' to each side of the equation.
0.6 + 0.6j + -0.4j = 5.4 + 0.4j + -0.4j

Combine like terms: 0.6j + -0.4j = 0.2j
0.6 + 0.2j = 5.4 + 0.4j + -0.4j

Combine like terms: 0.4j + -0.4j = 0.0
0.6 + 0.2j = 5.4 + 0.0
0.6 + 0.2j = 5.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.2j = 5.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.2j = 5.4 + -0.6
0.2j = 5.4 + -0.6

Combine like terms: 5.4 + -0.6 = 4.8
0.2j = 4.8

Divide each side by '0.2'.
j = 24

Simplifying
j = 24