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Simplifying 3x + -5i = -6 + 3yi Reorder the terms: -5i + 3x = -6 + 3yi Solving -5i + 3x = -6 + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3iy' to each side of the equation. -5i + -3iy + 3x = -6 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 -5i + -3iy + 3x = -6 + 0 -5i + -3iy + 3x = -6 Add '-3x' to each side of the equation. -5i + -3iy + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 -5i + -3iy + 0 = -6 + -3x -5i + -3iy = -6 + -3x Reorder the terms: 6 + -5i + -3iy + 3x = -6 + -3x + 6 + 3x Reorder the terms: 6 + -5i + -3iy + 3x = -6 + 6 + -3x + 3x Combine like terms: -6 + 6 = 0 6 + -5i + -3iy + 3x = 0 + -3x + 3x 6 + -5i + -3iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + -5i + -3iy + 3x = 0 The solution to this equation could not be determined.
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