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Simplifying (3 + -2i) + -8 = x + -1(-7 + yi) Remove parenthesis around (3 + -2i) 3 + -2i + -8 = x + -1(-7 + yi) Reorder the terms: 3 + -8 + -2i = x + -1(-7 + yi) Combine like terms: 3 + -8 = -5 -5 + -2i = x + -1(-7 + yi) -5 + -2i = x + (-7 * -1 + iy * -1) -5 + -2i = x + (7 + -1iy) Reorder the terms: -5 + -2i = 7 + -1iy + x Solving -5 + -2i = 7 + -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. -5 + -2i + iy = 7 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -5 + -2i + iy = 7 + 0 + x -5 + -2i + iy = 7 + x Add '5' to each side of the equation. -5 + -2i + 5 + iy = 7 + 5 + x Reorder the terms: -5 + 5 + -2i + iy = 7 + 5 + x Combine like terms: -5 + 5 = 0 0 + -2i + iy = 7 + 5 + x -2i + iy = 7 + 5 + x Combine like terms: 7 + 5 = 12 -2i + iy = 12 + x Reorder the terms: -12 + -2i + iy + -1x = 12 + x + -12 + -1x Reorder the terms: -12 + -2i + iy + -1x = 12 + -12 + x + -1x Combine like terms: 12 + -12 = 0 -12 + -2i + iy + -1x = 0 + x + -1x -12 + -2i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 -12 + -2i + iy + -1x = 0 The solution to this equation could not be determined.
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