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Simplifying 3x + 2i = 8 + yi Reorder the terms: 2i + 3x = 8 + yi Solving 2i + 3x = 8 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 2i + -1iy + 3x = 8 + iy + -1iy Combine like terms: iy + -1iy = 0 2i + -1iy + 3x = 8 + 0 2i + -1iy + 3x = 8 Add '-3x' to each side of the equation. 2i + -1iy + 3x + -3x = 8 + -3x Combine like terms: 3x + -3x = 0 2i + -1iy + 0 = 8 + -3x 2i + -1iy = 8 + -3x Reorder the terms: -8 + 2i + -1iy + 3x = 8 + -3x + -8 + 3x Reorder the terms: -8 + 2i + -1iy + 3x = 8 + -8 + -3x + 3x Combine like terms: 8 + -8 = 0 -8 + 2i + -1iy + 3x = 0 + -3x + 3x -8 + 2i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 2i + -1iy + 3x = 0 The solution to this equation could not be determined.
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