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Simplifying 3x + -1yi = -12 + 5i Reorder the terms: -1iy + 3x = -12 + 5i Solving -1iy + 3x = -12 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. -1iy + -5i + 3x = -12 + 5i + -5i Reorder the terms: -5i + -1iy + 3x = -12 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i + -1iy + 3x = -12 + 0 -5i + -1iy + 3x = -12 Add '-3x' to each side of the equation. -5i + -1iy + 3x + -3x = -12 + -3x Combine like terms: 3x + -3x = 0 -5i + -1iy + 0 = -12 + -3x -5i + -1iy = -12 + -3x Reorder the terms: 12 + -5i + -1iy + 3x = -12 + -3x + 12 + 3x Reorder the terms: 12 + -5i + -1iy + 3x = -12 + 12 + -3x + 3x Combine like terms: -12 + 12 = 0 12 + -5i + -1iy + 3x = 0 + -3x + 3x 12 + -5i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5i + -1iy + 3x = 0 The solution to this equation could not be determined.
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