3(1-4k)=0.5(24j+6)

Solution for 3(1-4k)=0.5(24j+6) equation:

Simplifying
3(1 + -4k) = 0.5(24j + 6)
(1 * 3 + -4k * 3) = 0.5(24j + 6)
(3 + -12k) = 0.5(24j + 6)

Reorder the terms:
3 + -12k = 0.5(6 + 24j)
3 + -12k = (6 * 0.5 + 24j * 0.5)
3 + -12k = (3 + 12j)

Add '-3' to each side of the equation.
3 + -3 + -12k = 3 + -3 + 12j

Combine like terms: 3 + -3 = 0
0 + -12k = 3 + -3 + 12j
-12k = 3 + -3 + 12j

Combine like terms: 3 + -3 = 0
-12k = 0 + 12j
-12k = 12j

Solving
-12k = 12j

Solving for variable 'k'.

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

Divide each side by '-12'.
k = -1j

Simplifying
k = -1j