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Simplifying (2 + -3i) * Z6 + 1 + 5i = 0 Reorder the terms for easier multiplication: Z6(2 + -3i) + 1 + 5i = 0 (2 * Z6 + -3i * Z6) + 1 + 5i = 0 (2Z6 + -3iZ6) + 1 + 5i = 0 Reorder the terms: 1 + 2Z6 + 5i + -3iZ6 = 0 Solving 1 + 2Z6 + 5i + -3iZ6 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2Z6 + 5i + -1 + -3iZ6 = 0 + -1 Reorder the terms: 1 + -1 + 2Z6 + 5i + -3iZ6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2Z6 + 5i + -3iZ6 = 0 + -1 2Z6 + 5i + -3iZ6 = 0 + -1 Combine like terms: 0 + -1 = -1 2Z6 + 5i + -3iZ6 = -1 Add '-5i' to each side of the equation. 2Z6 + 5i + -5i + -3iZ6 = -1 + -5i Combine like terms: 5i + -5i = 0 2Z6 + 0 + -3iZ6 = -1 + -5i 2Z6 + -3iZ6 = -1 + -5i Reorder the terms: 1 + 2Z6 + 5i + -3iZ6 = -1 + -5i + 1 + 5i Reorder the terms: 1 + 2Z6 + 5i + -3iZ6 = -1 + 1 + -5i + 5i Combine like terms: -1 + 1 = 0 1 + 2Z6 + 5i + -3iZ6 = 0 + -5i + 5i 1 + 2Z6 + 5i + -3iZ6 = -5i + 5i Combine like terms: -5i + 5i = 0 1 + 2Z6 + 5i + -3iZ6 = 0 The solution to this equation could not be determined.
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