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Simplifying 3x + (4y + 2) * i = 9 + -6i Reorder the terms: 3x + (2 + 4y) * i = 9 + -6i Reorder the terms for easier multiplication: 3x + i(2 + 4y) = 9 + -6i 3x + (2 * i + 4y * i) = 9 + -6i 3x + (2i + 4iy) = 9 + -6i Reorder the terms: 2i + 4iy + 3x = 9 + -6i Solving 2i + 4iy + 3x = 9 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 2i + 4iy + 6i + 3x = 9 + -6i + 6i Reorder the terms: 2i + 6i + 4iy + 3x = 9 + -6i + 6i Combine like terms: 2i + 6i = 8i 8i + 4iy + 3x = 9 + -6i + 6i Combine like terms: -6i + 6i = 0 8i + 4iy + 3x = 9 + 0 8i + 4iy + 3x = 9 Add '-3x' to each side of the equation. 8i + 4iy + 3x + -3x = 9 + -3x Combine like terms: 3x + -3x = 0 8i + 4iy + 0 = 9 + -3x 8i + 4iy = 9 + -3x Reorder the terms: -9 + 8i + 4iy + 3x = 9 + -3x + -9 + 3x Reorder the terms: -9 + 8i + 4iy + 3x = 9 + -9 + -3x + 3x Combine like terms: 9 + -9 = 0 -9 + 8i + 4iy + 3x = 0 + -3x + 3x -9 + 8i + 4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 8i + 4iy + 3x = 0 The solution to this equation could not be determined.
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