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Simplifying 5i + -1(15 + -3i) = 0 5i + (15 * -1 + -3i * -1) = 0 5i + (-15 + 3i) = 0 Reorder the terms: -15 + 5i + 3i = 0 Combine like terms: 5i + 3i = 8i -15 + 8i = 0 Solving -15 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8i = 0 + 15 8i = 0 + 15 Combine like terms: 0 + 15 = 15 8i = 15 Divide each side by '8'. i = 1.875 Simplifying i = 1.875
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