(6-7i)+(3+8i)=

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

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

Remove parenthesis around (6 + -7i)
6 + -7i + (3 + 8i) = 0

Remove parenthesis around (3 + 8i)
6 + -7i + 3 + 8i = 0

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

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

Combine like terms: -7i + 8i = 1i
9 + 1i = 0

Solving
9 + 1i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + 1i = 0 + -9

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

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

Divide each side by '1'.
i = -9

Simplifying
i = -9