6-0.6(j-11)=0.4(12j-11)

Solution for 6-0.6(j-11)=0.4(12j-11) equation:

Simplifying
6 + -0.6(j + -11) = 0.4(12j + -11)

Reorder the terms:
6 + -0.6(-11 + j) = 0.4(12j + -11)
6 + (-11 * -0.6 + j * -0.6) = 0.4(12j + -11)
6 + (6.6 + -0.6j) = 0.4(12j + -11)

Combine like terms: 6 + 6.6 = 12.6
12.6 + -0.6j = 0.4(12j + -11)

Reorder the terms:
12.6 + -0.6j = 0.4(-11 + 12j)
12.6 + -0.6j = (-11 * 0.4 + 12j * 0.4)
12.6 + -0.6j = (-4.4 + 4.8j)

Solving
12.6 + -0.6j = -4.4 + 4.8j

Solving for variable 'j'.

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

Add '-4.8j' to each side of the equation.
12.6 + -0.6j + -4.8j = -4.4 + 4.8j + -4.8j

Combine like terms: -0.6j + -4.8j = -5.4j
12.6 + -5.4j = -4.4 + 4.8j + -4.8j

Combine like terms: 4.8j + -4.8j = 0.0
12.6 + -5.4j = -4.4 + 0.0
12.6 + -5.4j = -4.4

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -5.4j = -4.4 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -5.4j = -4.4 + -12.6
-5.4j = -4.4 + -12.6

Combine like terms: -4.4 + -12.6 = -17
-5.4j = -17

Divide each side by '-5.4'.
j = 3.148148148

Simplifying
j = 3.148148148