(-6-9i)-(-8-4i)+-3+7i=0

Solution for (-6-9i)-(-8-4i)+-3+7i=0 equation:

Simplifying
(-6 + -9i) + -1(-8 + -4i) + -3 + 7i = 0

Remove parenthesis around (-6 + -9i)
-6 + -9i + -1(-8 + -4i) + -3 + 7i = 0
-6 + -9i + (-8 * -1 + -4i * -1) + -3 + 7i = 0
-6 + -9i + (8 + 4i) + -3 + 7i = 0

Reorder the terms:
-6 + 8 + -3 + -9i + 4i + 7i = 0

Combine like terms: -6 + 8 = 2
2 + -3 + -9i + 4i + 7i = 0

Combine like terms: 2 + -3 = -1
-1 + -9i + 4i + 7i = 0

Combine like terms: -9i + 4i = -5i
-1 + -5i + 7i = 0

Combine like terms: -5i + 7i = 2i
-1 + 2i = 0

Solving
-1 + 2i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 2i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2i = 0 + 1
2i = 0 + 1

Combine like terms: 0 + 1 = 1
2i = 1

Divide each side by '2'.
i = 0.5

Simplifying
i = 0.5