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Simplifying (6 + -9i) + -8 = x + -1(9 + yi) Remove parenthesis around (6 + -9i) 6 + -9i + -8 = x + -1(9 + yi) Reorder the terms: 6 + -8 + -9i = x + -1(9 + yi) Combine like terms: 6 + -8 = -2 -2 + -9i = x + -1(9 + yi) -2 + -9i = x + (9 * -1 + iy * -1) -2 + -9i = x + (-9 + -1iy) Reorder the terms: -2 + -9i = -9 + -1iy + x Solving -2 + -9i = -9 + -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. -2 + -9i + iy = -9 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -2 + -9i + iy = -9 + 0 + x -2 + -9i + iy = -9 + x Add '2' to each side of the equation. -2 + -9i + 2 + iy = -9 + 2 + x Reorder the terms: -2 + 2 + -9i + iy = -9 + 2 + x Combine like terms: -2 + 2 = 0 0 + -9i + iy = -9 + 2 + x -9i + iy = -9 + 2 + x Combine like terms: -9 + 2 = -7 -9i + iy = -7 + x Reorder the terms: 7 + -9i + iy + -1x = -7 + x + 7 + -1x Reorder the terms: 7 + -9i + iy + -1x = -7 + 7 + x + -1x Combine like terms: -7 + 7 = 0 7 + -9i + iy + -1x = 0 + x + -1x 7 + -9i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 7 + -9i + iy + -1x = 0 The solution to this equation could not be determined.
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