0.6+10+0.2j-6=0.4(j-6)

Solution for 0.6+10+0.2j-6=0.4(j-6) equation:

Simplifying
0.6 + 10 + 0.2j + -6 = 0.4(j + -6)

Reorder the terms:
0.6 + 10 + -6 + 0.2j = 0.4(j + -6)

Combine like terms: 0.6 + 10 = 10.6
10.6 + -6 + 0.2j = 0.4(j + -6)

Combine like terms: 10.6 + -6 = 4.6
4.6 + 0.2j = 0.4(j + -6)

Reorder the terms:
4.6 + 0.2j = 0.4(-6 + j)
4.6 + 0.2j = (-6 * 0.4 + j * 0.4)
4.6 + 0.2j = (-2.4 + 0.4j)

Solving
4.6 + 0.2j = -2.4 + 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.
4.6 + 0.2j + -0.4j = -2.4 + 0.4j + -0.4j

Combine like terms: 0.2j + -0.4j = -0.2j
4.6 + -0.2j = -2.4 + 0.4j + -0.4j

Combine like terms: 0.4j + -0.4j = 0.0
4.6 + -0.2j = -2.4 + 0.0
4.6 + -0.2j = -2.4

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -0.2j = -2.4 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -0.2j = -2.4 + -4.6
-0.2j = -2.4 + -4.6

Combine like terms: -2.4 + -4.6 = -7
-0.2j = -7

Divide each side by '-0.2'.
j = 35

Simplifying
j = 35