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

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

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

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

Reorder the terms:
6 + 7 + 7i + -1i = 0

Combine like terms: 6 + 7 = 13
13 + 7i + -1i = 0

Combine like terms: 7i + -1i = 6i
13 + 6i = 0

Solving
13 + 6i = 0

Solving for variable 'i'.

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

Add '-13' to each side of the equation.
13 + -13 + 6i = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6i = 0 + -13
6i = 0 + -13

Combine like terms: 0 + -13 = -13
6i = -13

Divide each side by '6'.
i = -2.166666667

Simplifying
i = -2.166666667