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Simplifying 2x + 3i = 8 + -4yi Reorder the terms: 3i + 2x = 8 + -4yi Solving 3i + 2x = 8 + -4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4iy' to each side of the equation. 3i + 4iy + 2x = 8 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 3i + 4iy + 2x = 8 + 0 3i + 4iy + 2x = 8 Add '-2x' to each side of the equation. 3i + 4iy + 2x + -2x = 8 + -2x Combine like terms: 2x + -2x = 0 3i + 4iy + 0 = 8 + -2x 3i + 4iy = 8 + -2x Reorder the terms: -8 + 3i + 4iy + 2x = 8 + -2x + -8 + 2x Reorder the terms: -8 + 3i + 4iy + 2x = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -8 + 3i + 4iy + 2x = 0 + -2x + 2x -8 + 3i + 4iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 3i + 4iy + 2x = 0 The solution to this equation could not be determined.
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