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Simplifying 5x + 2yi = -12 + -6i Reorder the terms: 2iy + 5x = -12 + -6i Solving 2iy + 5x = -12 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 2iy + 6i + 5x = -12 + -6i + 6i Reorder the terms: 6i + 2iy + 5x = -12 + -6i + 6i Combine like terms: -6i + 6i = 0 6i + 2iy + 5x = -12 + 0 6i + 2iy + 5x = -12 Add '-5x' to each side of the equation. 6i + 2iy + 5x + -5x = -12 + -5x Combine like terms: 5x + -5x = 0 6i + 2iy + 0 = -12 + -5x 6i + 2iy = -12 + -5x Reorder the terms: 12 + 6i + 2iy + 5x = -12 + -5x + 12 + 5x Reorder the terms: 12 + 6i + 2iy + 5x = -12 + 12 + -5x + 5x Combine like terms: -12 + 12 = 0 12 + 6i + 2iy + 5x = 0 + -5x + 5x 12 + 6i + 2iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 12 + 6i + 2iy + 5x = 0 The solution to this equation could not be determined.
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