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Simplifying 0.8(3i + 27) = 0.2i + 68 Reorder the terms: 0.8(27 + 3i) = 0.2i + 68 (27 * 0.8 + 3i * 0.8) = 0.2i + 68 (21.6 + 2.4i) = 0.2i + 68 Reorder the terms: 21.6 + 2.4i = 68 + 0.2i Solving 21.6 + 2.4i = 68 + 0.2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.2i' to each side of the equation. 21.6 + 2.4i + -0.2i = 68 + 0.2i + -0.2i Combine like terms: 2.4i + -0.2i = 2.2i 21.6 + 2.2i = 68 + 0.2i + -0.2i Combine like terms: 0.2i + -0.2i = 0.0 21.6 + 2.2i = 68 + 0.0 21.6 + 2.2i = 68 Add '-21.6' to each side of the equation. 21.6 + -21.6 + 2.2i = 68 + -21.6 Combine like terms: 21.6 + -21.6 = 0.0 0.0 + 2.2i = 68 + -21.6 2.2i = 68 + -21.6 Combine like terms: 68 + -21.6 = 46.4 2.2i = 46.4 Divide each side by '2.2'. i = 21.09090909 Simplifying i = 21.09090909
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