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

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

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

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

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

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

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

Solving
-1 + I + 7i = 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 + I + 1 + 7i = 0 + 1

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

Combine like terms: -1 + 1 = 0
0 + I + 7i = 0 + 1
I + 7i = 0 + 1

Combine like terms: 0 + 1 = 1
I + 7i = 1

Add '-7i' to each side of the equation.
I + 7i + -7i = 1 + -7i

Combine like terms: 7i + -7i = 0
I + 0 = 1 + -7i
I = 1 + -7i

Simplifying
I = 1 + -7i