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Simplifying 2(3 + -4yi) = 3x + 16i (3 * 2 + -4iy * 2) = 3x + 16i (6 + -8iy) = 3x + 16i Reorder the terms: 6 + -8iy = 16i + 3x Solving 6 + -8iy = 16i + 3x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16i' to each side of the equation. 6 + -16i + -8iy = 16i + -16i + 3x Combine like terms: 16i + -16i = 0 6 + -16i + -8iy = 0 + 3x 6 + -16i + -8iy = 3x Add '-6' to each side of the equation. 6 + -16i + -6 + -8iy = -6 + 3x Reorder the terms: 6 + -6 + -16i + -8iy = -6 + 3x Combine like terms: 6 + -6 = 0 0 + -16i + -8iy = -6 + 3x -16i + -8iy = -6 + 3x Reorder the terms: 6 + -16i + -8iy + -3x = -6 + 3x + 6 + -3x Reorder the terms: 6 + -16i + -8iy + -3x = -6 + 6 + 3x + -3x Combine like terms: -6 + 6 = 0 6 + -16i + -8iy + -3x = 0 + 3x + -3x 6 + -16i + -8iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 6 + -16i + -8iy + -3x = 0 The solution to this equation could not be determined.
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