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Simplifying 6i + -1(16 + -3i) = 0 6i + (16 * -1 + -3i * -1) = 0 6i + (-16 + 3i) = 0 Reorder the terms: -16 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i -16 + 9i = 0 Solving -16 + 9i = 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 + 9i = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9i = 0 + 16 9i = 0 + 16 Combine like terms: 0 + 16 = 16 9i = 16 Divide each side by '9'. i = 1.777777778 Simplifying i = 1.777777778
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