(6+7i)-(9-3i)=

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

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

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

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

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

Combine like terms: 7i + 3i = 10i
-3 + 10i = 0

Solving
-3 + 10i = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 3 + 10i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10i = 0 + 3
10i = 0 + 3

Combine like terms: 0 + 3 = 3
10i = 3

Divide each side by '10'.
i = 0.3

Simplifying
i = 0.3