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Simplifying 5x + 3i = 15 + yi Reorder the terms: 3i + 5x = 15 + yi Solving 3i + 5x = 15 + 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. 3i + -1iy + 5x = 15 + iy + -1iy Combine like terms: iy + -1iy = 0 3i + -1iy + 5x = 15 + 0 3i + -1iy + 5x = 15 Add '-5x' to each side of the equation. 3i + -1iy + 5x + -5x = 15 + -5x Combine like terms: 5x + -5x = 0 3i + -1iy + 0 = 15 + -5x 3i + -1iy = 15 + -5x Reorder the terms: -15 + 3i + -1iy + 5x = 15 + -5x + -15 + 5x Reorder the terms: -15 + 3i + -1iy + 5x = 15 + -15 + -5x + 5x Combine like terms: 15 + -15 = 0 -15 + 3i + -1iy + 5x = 0 + -5x + 5x -15 + 3i + -1iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 3i + -1iy + 5x = 0 The solution to this equation could not be determined.
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