2.3(j+3)=1.3-j

Solution for 2.3(j+3)=1.3-j equation:

Simplifying
2.3(j + 3) = 1.3 + -1j

Reorder the terms:
2.3(3 + j) = 1.3 + -1j
(3 * 2.3 + j * 2.3) = 1.3 + -1j
(6.9 + 2.3j) = 1.3 + -1j

Solving
6.9 + 2.3j = 1.3 + -1j

Solving for variable 'j'.

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

Add 'j' to each side of the equation.
6.9 + 2.3j + j = 1.3 + -1j + j

Combine like terms: 2.3j + j = 3.3j
6.9 + 3.3j = 1.3 + -1j + j

Combine like terms: -1j + j = 0
6.9 + 3.3j = 1.3 + 0
6.9 + 3.3j = 1.3

Add '-6.9' to each side of the equation.
6.9 + -6.9 + 3.3j = 1.3 + -6.9

Combine like terms: 6.9 + -6.9 = 0.0
0.0 + 3.3j = 1.3 + -6.9
3.3j = 1.3 + -6.9

Combine like terms: 1.3 + -6.9 = -5.6
3.3j = -5.6

Divide each side by '3.3'.
j = -1.696969697

Simplifying
j = -1.696969697