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Simplifying (8 + 20i) + -1(-8 + 12i) = 0 Remove parenthesis around (8 + 20i) 8 + 20i + -1(-8 + 12i) = 0 8 + 20i + (-8 * -1 + 12i * -1) = 0 8 + 20i + (8 + -12i) = 0 Reorder the terms: 8 + 8 + 20i + -12i = 0 Combine like terms: 8 + 8 = 16 16 + 20i + -12i = 0 Combine like terms: 20i + -12i = 8i 16 + 8i = 0 Solving 16 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8i = 0 + -16 8i = 0 + -16 Combine like terms: 0 + -16 = -16 8i = -16 Divide each side by '8'. i = -2 Simplifying i = -2
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