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Simplifying 4x + 6i = 8 + -3yi Reorder the terms: 6i + 4x = 8 + -3yi Solving 6i + 4x = 8 + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3iy' to each side of the equation. 6i + 3iy + 4x = 8 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 6i + 3iy + 4x = 8 + 0 6i + 3iy + 4x = 8 Add '-4x' to each side of the equation. 6i + 3iy + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 6i + 3iy + 0 = 8 + -4x 6i + 3iy = 8 + -4x Reorder the terms: -8 + 6i + 3iy + 4x = 8 + -4x + -8 + 4x Reorder the terms: -8 + 6i + 3iy + 4x = 8 + -8 + -4x + 4x Combine like terms: 8 + -8 = 0 -8 + 6i + 3iy + 4x = 0 + -4x + 4x -8 + 6i + 3iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 6i + 3iy + 4x = 0 The solution to this equation could not be determined.
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