4(3-j)-3(6-j)=

Solution for 4(3-j)-3(6-j)= equation:

Simplifying
4(3 + -1j) + -3(6 + -1j) = 0
(3 * 4 + -1j * 4) + -3(6 + -1j) = 0
(12 + -4j) + -3(6 + -1j) = 0
12 + -4j + (6 * -3 + -1j * -3) = 0
12 + -4j + (-18 + 3j) = 0

Reorder the terms:
12 + -18 + -4j + 3j = 0

Combine like terms: 12 + -18 = -6
-6 + -4j + 3j = 0

Combine like terms: -4j + 3j = -1j
-6 + -1j = 0

Solving
-6 + -1j = 0

Solving for variable 'j'.

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

Add '6' to each side of the equation.
-6 + 6 + -1j = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1j = 0 + 6
-1j = 0 + 6

Combine like terms: 0 + 6 = 6
-1j = 6

Divide each side by '-1'.
j = -6

Simplifying
j = -6