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

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

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

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

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

Combine like terms: 9j + j = 10j
3 + 12j = -3 + 10j

Solving
3 + 12j = -3 + 10j

Solving for variable 'j'.

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

Add '-10j' to each side of the equation.
3 + 12j + -10j = -3 + 10j + -10j

Combine like terms: 12j + -10j = 2j
3 + 2j = -3 + 10j + -10j

Combine like terms: 10j + -10j = 0
3 + 2j = -3 + 0
3 + 2j = -3

Add '-3' to each side of the equation.
3 + -3 + 2j = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 2j = -3 + -3
2j = -3 + -3

Combine like terms: -3 + -3 = -6
2j = -6

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

Simplifying
j = -3