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Simplifying (3i + 27) = i + 68 Reorder the terms: (27 + 3i) = i + 68 Remove parenthesis around (27 + 3i) 27 + 3i = i + 68 Reorder the terms: 27 + 3i = 68 + i Solving 27 + 3i = 68 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 27 + 3i + -1i = 68 + i + -1i Combine like terms: 3i + -1i = 2i 27 + 2i = 68 + i + -1i Combine like terms: i + -1i = 0 27 + 2i = 68 + 0 27 + 2i = 68 Add '-27' to each side of the equation. 27 + -27 + 2i = 68 + -27 Combine like terms: 27 + -27 = 0 0 + 2i = 68 + -27 2i = 68 + -27 Combine like terms: 68 + -27 = 41 2i = 41 Divide each side by '2'. i = 20.5 Simplifying i = 20.5
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