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Simplifying (5 + -8i) + -8 = x + -1(6 + yi) Remove parenthesis around (5 + -8i) 5 + -8i + -8 = x + -1(6 + yi) Reorder the terms: 5 + -8 + -8i = x + -1(6 + yi) Combine like terms: 5 + -8 = -3 -3 + -8i = x + -1(6 + yi) -3 + -8i = x + (6 * -1 + iy * -1) -3 + -8i = x + (-6 + -1iy) Reorder the terms: -3 + -8i = -6 + -1iy + x Solving -3 + -8i = -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. -3 + -8i + iy = -6 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -3 + -8i + iy = -6 + 0 + x -3 + -8i + iy = -6 + x Add '3' to each side of the equation. -3 + -8i + 3 + iy = -6 + 3 + x Reorder the terms: -3 + 3 + -8i + iy = -6 + 3 + x Combine like terms: -3 + 3 = 0 0 + -8i + iy = -6 + 3 + x -8i + iy = -6 + 3 + x Combine like terms: -6 + 3 = -3 -8i + iy = -3 + x Reorder the terms: 3 + -8i + iy + -1x = -3 + x + 3 + -1x Reorder the terms: 3 + -8i + iy + -1x = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 3 + -8i + iy + -1x = 0 + x + -1x 3 + -8i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 3 + -8i + iy + -1x = 0 The solution to this equation could not be determined.
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