6-(-3+9i)-(-3-1i)=

Solution for 6-(-3+9i)-(-3-1i)= equation:

Simplifying
6 + -1(-3 + 9i) + -1(-3 + -1i) = 0
6 + (-3 * -1 + 9i * -1) + -1(-3 + -1i) = 0
6 + (3 + -9i) + -1(-3 + -1i) = 0
6 + 3 + -9i + (-3 * -1 + -1i * -1) = 0
6 + 3 + -9i + (3 + 1i) = 0

Reorder the terms:
6 + 3 + 3 + -9i + 1i = 0

Combine like terms: 6 + 3 = 9
9 + 3 + -9i + 1i = 0

Combine like terms: 9 + 3 = 12
12 + -9i + 1i = 0

Combine like terms: -9i + 1i = -8i
12 + -8i = 0

Solving
12 + -8i = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -12 + -8i = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -8i = 0 + -12
-8i = 0 + -12

Combine like terms: 0 + -12 = -12
-8i = -12

Divide each side by '-8'.
i = 1.5

Simplifying
i = 1.5