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Simplifying 10(0.5 + -1i) = 3.5 (0.5 * 10 + -1i * 10) = 3.5 (5 + -10i) = 3.5 Solving 5 + -10i = 3.5 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 + -10i = 3.5 + -5 Combine like terms: 5 + -5 = 0 0 + -10i = 3.5 + -5 -10i = 3.5 + -5 Combine like terms: 3.5 + -5 = -1.5 -10i = -1.5 Divide each side by '-10'. i = 0.15 Simplifying i = 0.15
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