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Simplifying 3x + 7 + (4 + -1y) * i = 28 + 8i Reorder the terms for easier multiplication: 3x + 7 + i(4 + -1y) = 28 + 8i 3x + 7 + (4 * i + -1y * i) = 28 + 8i 3x + 7 + (4i + -1iy) = 28 + 8i Reorder the terms: 7 + 4i + -1iy + 3x = 28 + 8i Solving 7 + 4i + -1iy + 3x = 28 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 7 + 4i + -1iy + -8i + 3x = 28 + 8i + -8i Reorder the terms: 7 + 4i + -8i + -1iy + 3x = 28 + 8i + -8i Combine like terms: 4i + -8i = -4i 7 + -4i + -1iy + 3x = 28 + 8i + -8i Combine like terms: 8i + -8i = 0 7 + -4i + -1iy + 3x = 28 + 0 7 + -4i + -1iy + 3x = 28 Add '-7' to each side of the equation. 7 + -4i + -1iy + -7 + 3x = 28 + -7 Reorder the terms: 7 + -7 + -4i + -1iy + 3x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -4i + -1iy + 3x = 28 + -7 -4i + -1iy + 3x = 28 + -7 Combine like terms: 28 + -7 = 21 -4i + -1iy + 3x = 21 Add '-3x' to each side of the equation. -4i + -1iy + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 -4i + -1iy + 0 = 21 + -3x -4i + -1iy = 21 + -3x Reorder the terms: -21 + -4i + -1iy + 3x = 21 + -3x + -21 + 3x Reorder the terms: -21 + -4i + -1iy + 3x = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + -4i + -1iy + 3x = 0 + -3x + 3x -21 + -4i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + -4i + -1iy + 3x = 0 The solution to this equation could not be determined.
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