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Simplifying 3x + 4yi = 12 + 8i Reorder the terms: 4iy + 3x = 12 + 8i Solving 4iy + 3x = 12 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 4iy + -8i + 3x = 12 + 8i + -8i Reorder the terms: -8i + 4iy + 3x = 12 + 8i + -8i Combine like terms: 8i + -8i = 0 -8i + 4iy + 3x = 12 + 0 -8i + 4iy + 3x = 12 Add '-3x' to each side of the equation. -8i + 4iy + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 -8i + 4iy + 0 = 12 + -3x -8i + 4iy = 12 + -3x Reorder the terms: -12 + -8i + 4iy + 3x = 12 + -3x + -12 + 3x Reorder the terms: -12 + -8i + 4iy + 3x = 12 + -12 + -3x + 3x Combine like terms: 12 + -12 = 0 -12 + -8i + 4iy + 3x = 0 + -3x + 3x -12 + -8i + 4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -8i + 4iy + 3x = 0 The solution to this equation could not be determined.
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