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Simplifying 3x + 5yi = 20 + 0.5i Reorder the terms: 5iy + 3x = 20 + 0.5i Solving 5iy + 3x = 20 + 0.5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.5i' to each side of the equation. 5iy + -0.5i + 3x = 20 + 0.5i + -0.5i Reorder the terms: -0.5i + 5iy + 3x = 20 + 0.5i + -0.5i Combine like terms: 0.5i + -0.5i = 0.0 -0.5i + 5iy + 3x = 20 + 0.0 -0.5i + 5iy + 3x = 20 Add '-3x' to each side of the equation. -0.5i + 5iy + 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 -0.5i + 5iy + 0 = 20 + -3x -0.5i + 5iy = 20 + -3x Reorder the terms: -20 + -0.5i + 5iy + 3x = 20 + -3x + -20 + 3x Reorder the terms: -20 + -0.5i + 5iy + 3x = 20 + -20 + -3x + 3x Combine like terms: 20 + -20 = 0 -20 + -0.5i + 5iy + 3x = 0 + -3x + 3x -20 + -0.5i + 5iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -0.5i + 5iy + 3x = 0 The solution to this equation could not be determined.
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