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Simplifying (9 + -3i) + -8 = x + -1(6 + yi) Remove parenthesis around (9 + -3i) 9 + -3i + -8 = x + -1(6 + yi) Reorder the terms: 9 + -8 + -3i = x + -1(6 + yi) Combine like terms: 9 + -8 = 1 1 + -3i = x + -1(6 + yi) 1 + -3i = x + (6 * -1 + iy * -1) 1 + -3i = x + (-6 + -1iy) Reorder the terms: 1 + -3i = -6 + -1iy + x Solving 1 + -3i = -6 + -1iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iy' to each side of the equation. 1 + -3i + iy = -6 + -1iy + iy + x Combine like terms: -1iy + iy = 0 1 + -3i + iy = -6 + 0 + x 1 + -3i + iy = -6 + x Add '-1' to each side of the equation. 1 + -3i + -1 + iy = -6 + -1 + x Reorder the terms: 1 + -1 + -3i + iy = -6 + -1 + x Combine like terms: 1 + -1 = 0 0 + -3i + iy = -6 + -1 + x -3i + iy = -6 + -1 + x Combine like terms: -6 + -1 = -7 -3i + iy = -7 + x Reorder the terms: 7 + -3i + iy + -1x = -7 + x + 7 + -1x Reorder the terms: 7 + -3i + iy + -1x = -7 + 7 + x + -1x Combine like terms: -7 + 7 = 0 7 + -3i + iy + -1x = 0 + x + -1x 7 + -3i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 7 + -3i + iy + -1x = 0 The solution to this equation could not be determined.
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