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Simplifying 5x + 8i = 30 + yi Reorder the terms: 8i + 5x = 30 + yi Solving 8i + 5x = 30 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 8i + -1iy + 5x = 30 + iy + -1iy Combine like terms: iy + -1iy = 0 8i + -1iy + 5x = 30 + 0 8i + -1iy + 5x = 30 Add '-5x' to each side of the equation. 8i + -1iy + 5x + -5x = 30 + -5x Combine like terms: 5x + -5x = 0 8i + -1iy + 0 = 30 + -5x 8i + -1iy = 30 + -5x Reorder the terms: -30 + 8i + -1iy + 5x = 30 + -5x + -30 + 5x Reorder the terms: -30 + 8i + -1iy + 5x = 30 + -30 + -5x + 5x Combine like terms: 30 + -30 = 0 -30 + 8i + -1iy + 5x = 0 + -5x + 5x -30 + 8i + -1iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 8i + -1iy + 5x = 0 The solution to this equation could not be determined.
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