3(4j+1)=3(3j-1)

Solution for 3(4j+1)=3(3j-1) equation:

Simplifying
3(4j + 1) = 3(3j + -1)

Reorder the terms:
3(1 + 4j) = 3(3j + -1)
(1 * 3 + 4j * 3) = 3(3j + -1)
(3 + 12j) = 3(3j + -1)

Reorder the terms:
3 + 12j = 3(-1 + 3j)
3 + 12j = (-1 * 3 + 3j * 3)
3 + 12j = (-3 + 9j)

Solving
3 + 12j = -3 + 9j

Solving for variable 'j'.

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

Add '-9j' to each side of the equation.
3 + 12j + -9j = -3 + 9j + -9j

Combine like terms: 12j + -9j = 3j
3 + 3j = -3 + 9j + -9j

Combine like terms: 9j + -9j = 0
3 + 3j = -3 + 0
3 + 3j = -3

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

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

Combine like terms: -3 + -3 = -6
3j = -6

Divide each side by '3'.
j = -2

Simplifying
j = -2