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Simplifying (3i) + -1(8 + -5i) = 0 (3i) + (8 * -1 + -5i * -1) = 0 (3i) + (-8 + 5i) = 0 Reorder the terms: -8 + (3i) + 5i = 0 Combine like terms: (3i) + 5i = 8i -8 + 8i = 0 Solving -8 + 8i = 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 + 8i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8i = 0 + 8 8i = 0 + 8 Combine like terms: 0 + 8 = 8 8i = 8 Divide each side by '8'. i = 1 Simplifying i = 1
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