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Simplifying 3x + 4yi = 21 + 3i Reorder the terms: 4iy + 3x = 21 + 3i Solving 4iy + 3x = 21 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 4iy + -3i + 3x = 21 + 3i + -3i Reorder the terms: -3i + 4iy + 3x = 21 + 3i + -3i Combine like terms: 3i + -3i = 0 -3i + 4iy + 3x = 21 + 0 -3i + 4iy + 3x = 21 Add '-3x' to each side of the equation. -3i + 4iy + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 -3i + 4iy + 0 = 21 + -3x -3i + 4iy = 21 + -3x Reorder the terms: -21 + -3i + 4iy + 3x = 21 + -3x + -21 + 3x Reorder the terms: -21 + -3i + 4iy + 3x = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + -3i + 4iy + 3x = 0 + -3x + 3x -21 + -3i + 4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + -3i + 4iy + 3x = 0 The solution to this equation could not be determined.
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