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Simplifying (5 + -4i) + (6i) + (8i) = 0 Remove parenthesis around (5 + -4i) 5 + -4i + (6i) + (8i) = 0 Combine like terms: -4i + (6i) = 2i 5 + 2i + (8i) = 0 Combine like terms: 2i + (8i) = 10i 5 + 10i = 0 Solving 5 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10i = 0 + -5 10i = 0 + -5 Combine like terms: 0 + -5 = -5 10i = -5 Divide each side by '10'. i = -0.5 Simplifying i = -0.5
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