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Simplifying (3 + 8i) + -1(8 + -3i) = 0 Remove parenthesis around (3 + 8i) 3 + 8i + -1(8 + -3i) = 0 3 + 8i + (8 * -1 + -3i * -1) = 0 3 + 8i + (-8 + 3i) = 0 Reorder the terms: 3 + -8 + 8i + 3i = 0 Combine like terms: 3 + -8 = -5 -5 + 8i + 3i = 0 Combine like terms: 8i + 3i = 11i -5 + 11i = 0 Solving -5 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11i = 0 + 5 11i = 0 + 5 Combine like terms: 0 + 5 = 5 11i = 5 Divide each side by '11'. i = 0.4545454545 Simplifying i = 0.4545454545
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