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Simplifying 3x + 9i = -2 + 4yi Reorder the terms: 9i + 3x = -2 + 4yi Solving 9i + 3x = -2 + 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. 9i + -4iy + 3x = -2 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 9i + -4iy + 3x = -2 + 0 9i + -4iy + 3x = -2 Add '-3x' to each side of the equation. 9i + -4iy + 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 9i + -4iy + 0 = -2 + -3x 9i + -4iy = -2 + -3x Reorder the terms: 2 + 9i + -4iy + 3x = -2 + -3x + 2 + 3x Reorder the terms: 2 + 9i + -4iy + 3x = -2 + 2 + -3x + 3x Combine like terms: -2 + 2 = 0 2 + 9i + -4iy + 3x = 0 + -3x + 3x 2 + 9i + -4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 2 + 9i + -4iy + 3x = 0 The solution to this equation could not be determined.
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