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Simplifying (4 + 3i) + -1(5 + -8i) = 0 Remove parenthesis around (4 + 3i) 4 + 3i + -1(5 + -8i) = 0 4 + 3i + (5 * -1 + -8i * -1) = 0 4 + 3i + (-5 + 8i) = 0 Reorder the terms: 4 + -5 + 3i + 8i = 0 Combine like terms: 4 + -5 = -1 -1 + 3i + 8i = 0 Combine like terms: 3i + 8i = 11i -1 + 11i = 0 Solving -1 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11i = 0 + 1 11i = 0 + 1 Combine like terms: 0 + 1 = 1 11i = 1 Divide each side by '11'. i = 0.09090909091 Simplifying i = 0.09090909091
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