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Simplifying 3x + -12i = 4(9 + yi) Reorder the terms: -12i + 3x = 4(9 + yi) -12i + 3x = (9 * 4 + iy * 4) -12i + 3x = (36 + 4iy) Solving -12i + 3x = 36 + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. -12i + -4iy + 3x = 36 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 -12i + -4iy + 3x = 36 + 0 -12i + -4iy + 3x = 36 Add '-3x' to each side of the equation. -12i + -4iy + 3x + -3x = 36 + -3x Combine like terms: 3x + -3x = 0 -12i + -4iy + 0 = 36 + -3x -12i + -4iy = 36 + -3x Reorder the terms: -36 + -12i + -4iy + 3x = 36 + -3x + -36 + 3x Reorder the terms: -36 + -12i + -4iy + 3x = 36 + -36 + -3x + 3x Combine like terms: 36 + -36 = 0 -36 + -12i + -4iy + 3x = 0 + -3x + 3x -36 + -12i + -4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -36 + -12i + -4iy + 3x = 0 The solution to this equation could not be determined.
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