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Simplifying 3x + -8i = 10 + 5yi Reorder the terms: -8i + 3x = 10 + 5yi Solving -8i + 3x = 10 + 5iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5iy' to each side of the equation. -8i + -5iy + 3x = 10 + 5iy + -5iy Combine like terms: 5iy + -5iy = 0 -8i + -5iy + 3x = 10 + 0 -8i + -5iy + 3x = 10 Add '-3x' to each side of the equation. -8i + -5iy + 3x + -3x = 10 + -3x Combine like terms: 3x + -3x = 0 -8i + -5iy + 0 = 10 + -3x -8i + -5iy = 10 + -3x Reorder the terms: -10 + -8i + -5iy + 3x = 10 + -3x + -10 + 3x Reorder the terms: -10 + -8i + -5iy + 3x = 10 + -10 + -3x + 3x Combine like terms: 10 + -10 = 0 -10 + -8i + -5iy + 3x = 0 + -3x + 3x -10 + -8i + -5iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -8i + -5iy + 3x = 0 The solution to this equation could not be determined.
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