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Simplifying -3 + 6i + -1(5 + -3i) + -8i = 0 -3 + 6i + (5 * -1 + -3i * -1) + -8i = 0 -3 + 6i + (-5 + 3i) + -8i = 0 Reorder the terms: -3 + -5 + 6i + 3i + -8i = 0 Combine like terms: -3 + -5 = -8 -8 + 6i + 3i + -8i = 0 Combine like terms: 6i + 3i = 9i -8 + 9i + -8i = 0 Combine like terms: 9i + -8i = 1i -8 + 1i = 0 Solving -8 + 1i = 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 + 1i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1i = 0 + 8 1i = 0 + 8 Combine like terms: 0 + 8 = 8 1i = 8 Divide each side by '1'. i = 8 Simplifying i = 8
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