Simplify the expression for j + 1 - 2j - 1 + 3j +1 =

Simplifying

j + 1 + -2j + -1 + 3j + 1 = 0

Reorder the terms:

1 + -1 + 1 + j + -2j + 3j = 0

Combine like terms: 1 + -1 = 0

0 + 1 + j + -2j + 3j = 0

1 + j + -2j + 3j = 0

Combine like terms: j + -2j = -1j

1 + -1j + 3j = 0

Combine like terms: -1j + 3j = 2j

1 + 2j = 0

Solving

1 + 2j = 0

Solving for variable 'j'.

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

Add '-1' to each side of the equation.

1 + -1 + 2j = 0 + -1

Combine like terms: 1 + -1 = 0

0 + 2j = 0 + -1

2j = 0 + -1

Combine like terms: 0 + -1 = -1

2j = -1

Divide each side by '2'.

j = -0.5

Simplifying

j = -0.5