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When adding complex numbers, simply group the real and imaginary parts together and then simplify.
Example #1:
Add (6 - 2i) and (-4 + 5i) together
Group the real parts and the imaginary parts together
(6 - 2i) + (-4 + 5i) = (6 + -4) + (-2i + 5i) = 2 + 3i
Example #2:
Add (-7 + -8i) and (3 + -i) together
Group the real parts and the imaginary parts together
(-7 + -8i) + (3 + -i) = (-7 + 3) + (-8i + -i) = -4 + -9i
Example #3:
Add (10i), 12, and (-8 + -6i) together
10i = 0 + 10i and 12 = 12 + 0i
Group the real parts and the imaginary parts together
10i + 12 + -8 + -6i = (0 + 10i) + (12 + 0i) + (- 8 + -6i)
= (0 + 12 + -8) + (10i + 0i + -6i)
= 4 + 4i