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Simplifying (4 + 4i) + (-5 + 7i) + -8i = 0 Remove parenthesis around (4 + 4i) 4 + 4i + (-5 + 7i) + -8i = 0 Remove parenthesis around (-5 + 7i) 4 + 4i + -5 + 7i + -8i = 0 Reorder the terms: 4 + -5 + 4i + 7i + -8i = 0 Combine like terms: 4 + -5 = -1 -1 + 4i + 7i + -8i = 0 Combine like terms: 4i + 7i = 11i -1 + 11i + -8i = 0 Combine like terms: 11i + -8i = 3i -1 + 3i = 0 Solving -1 + 3i = 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 + 1 + 3i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3i = 0 + 1 3i = 0 + 1 Combine like terms: 0 + 1 = 1 3i = 1 Divide each side by '3'. i = 0.3333333333 Simplifying i = 0.3333333333
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