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Simplifying (4 + 3) + -1(5 + 8i) = 0 Combine like terms: 4 + 3 = 7 (7) + -1(5 + 8i) = 0 7 + -1(5 + 8i) = 0 7 + (5 * -1 + 8i * -1) = 0 7 + (-5 + -8i) = 0 Combine like terms: 7 + -5 = 2 2 + -8i = 0 Solving 2 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8i = 0 + -2 -8i = 0 + -2 Combine like terms: 0 + -2 = -2 -8i = -2 Divide each side by '-8'. i = 0.25 Simplifying i = 0.25
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