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Simplifying 12 + -9i = 3x + 4yi Reorder the terms: 12 + -9i = 4iy + 3x Solving 12 + -9i = 4iy + 3x 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. 12 + -9i + -4iy = 4iy + -4iy + 3x Combine like terms: 4iy + -4iy = 0 12 + -9i + -4iy = 0 + 3x 12 + -9i + -4iy = 3x Add '-12' to each side of the equation. 12 + -9i + -12 + -4iy = -12 + 3x Reorder the terms: 12 + -12 + -9i + -4iy = -12 + 3x Combine like terms: 12 + -12 = 0 0 + -9i + -4iy = -12 + 3x -9i + -4iy = -12 + 3x Reorder the terms: 12 + -9i + -4iy + -3x = -12 + 3x + 12 + -3x Reorder the terms: 12 + -9i + -4iy + -3x = -12 + 12 + 3x + -3x Combine like terms: -12 + 12 = 0 12 + -9i + -4iy + -3x = 0 + 3x + -3x 12 + -9i + -4iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9i + -4iy + -3x = 0 The solution to this equation could not be determined.
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