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Simplifying (3x + 4) + (3 + -1y) * i = 16 + -3i Reorder the terms: (4 + 3x) + (3 + -1y) * i = 16 + -3i Remove parenthesis around (4 + 3x) 4 + 3x + (3 + -1y) * i = 16 + -3i Reorder the terms for easier multiplication: 4 + 3x + i(3 + -1y) = 16 + -3i 4 + 3x + (3 * i + -1y * i) = 16 + -3i 4 + 3x + (3i + -1iy) = 16 + -3i Reorder the terms: 4 + 3i + -1iy + 3x = 16 + -3i Solving 4 + 3i + -1iy + 3x = 16 + -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. 4 + 3i + -1iy + 3i + 3x = 16 + -3i + 3i Reorder the terms: 4 + 3i + 3i + -1iy + 3x = 16 + -3i + 3i Combine like terms: 3i + 3i = 6i 4 + 6i + -1iy + 3x = 16 + -3i + 3i Combine like terms: -3i + 3i = 0 4 + 6i + -1iy + 3x = 16 + 0 4 + 6i + -1iy + 3x = 16 Add '-4' to each side of the equation. 4 + 6i + -1iy + -4 + 3x = 16 + -4 Reorder the terms: 4 + -4 + 6i + -1iy + 3x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6i + -1iy + 3x = 16 + -4 6i + -1iy + 3x = 16 + -4 Combine like terms: 16 + -4 = 12 6i + -1iy + 3x = 12 Add '-3x' to each side of the equation. 6i + -1iy + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 6i + -1iy + 0 = 12 + -3x 6i + -1iy = 12 + -3x Reorder the terms: -12 + 6i + -1iy + 3x = 12 + -3x + -12 + 3x Reorder the terms: -12 + 6i + -1iy + 3x = 12 + -12 + -3x + 3x Combine like terms: 12 + -12 = 0 -12 + 6i + -1iy + 3x = 0 + -3x + 3x -12 + 6i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 6i + -1iy + 3x = 0 The solution to this equation could not be determined.
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