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Simplifying 4i + -1(-8 + 20i) = 0 4i + (-8 * -1 + 20i * -1) = 0 4i + (8 + -20i) = 0 Reorder the terms: 8 + 4i + -20i = 0 Combine like terms: 4i + -20i = -16i 8 + -16i = 0 Solving 8 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -16i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -16i = 0 + -8 -16i = 0 + -8 Combine like terms: 0 + -8 = -8 -16i = -8 Divide each side by '-16'. i = 0.5 Simplifying i = 0.5
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