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Simplifying 2x + iy + -5ix + -3y = 11 + -8i Reorder the terms: -5ix + iy + 2x + -3y = 11 + -8i Solving -5ix + iy + 2x + -3y = 11 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. -5ix + iy + 2x + 8i + -3y = 11 + -8i + 8i Reorder the terms: 8i + -5ix + iy + 2x + -3y = 11 + -8i + 8i Combine like terms: -8i + 8i = 0 8i + -5ix + iy + 2x + -3y = 11 + 0 8i + -5ix + iy + 2x + -3y = 11 Add '-2x' to each side of the equation. 8i + -5ix + iy + 2x + -2x + -3y = 11 + -2x Combine like terms: 2x + -2x = 0 8i + -5ix + iy + 0 + -3y = 11 + -2x 8i + -5ix + iy + -3y = 11 + -2x Add '3y' to each side of the equation. 8i + -5ix + iy + -3y + 3y = 11 + -2x + 3y Combine like terms: -3y + 3y = 0 8i + -5ix + iy + 0 = 11 + -2x + 3y 8i + -5ix + iy = 11 + -2x + 3y Reorder the terms: -11 + 8i + -5ix + iy + 2x + -3y = 11 + -2x + 3y + -11 + 2x + -3y Reorder the terms: -11 + 8i + -5ix + iy + 2x + -3y = 11 + -11 + -2x + 2x + 3y + -3y Combine like terms: 11 + -11 = 0 -11 + 8i + -5ix + iy + 2x + -3y = 0 + -2x + 2x + 3y + -3y -11 + 8i + -5ix + iy + 2x + -3y = -2x + 2x + 3y + -3y Combine like terms: -2x + 2x = 0 -11 + 8i + -5ix + iy + 2x + -3y = 0 + 3y + -3y -11 + 8i + -5ix + iy + 2x + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -11 + 8i + -5ix + iy + 2x + -3y = 0 The solution to this equation could not be determined.
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