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

End result is j = - 0.5