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

Solution for (6+j)-(3-4j)= equation:

Simplifying
(6 + j) + -1(3 + -4j) = 0

Remove parenthesis around (6 + j)
6 + j + -1(3 + -4j) = 0
6 + j + (3 * -1 + -4j * -1) = 0
6 + j + (-3 + 4j) = 0

Reorder the terms:
6 + -3 + j + 4j = 0

Combine like terms: 6 + -3 = 3
3 + j + 4j = 0

Combine like terms: j + 4j = 5j
3 + 5j = 0

Solving
3 + 5j = 0

Solving for variable 'j'.

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

Add '-3' to each side of the equation.
3 + -3 + 5j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5j = 0 + -3
5j = 0 + -3

Combine like terms: 0 + -3 = -3
5j = -3

Divide each side by '5'.
j = -0.6

Simplifying
j = -0.6