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Simplifying (2 + -8i) + -4 = x + -1(7 + yi) Remove parenthesis around (2 + -8i) 2 + -8i + -4 = x + -1(7 + yi) Reorder the terms: 2 + -4 + -8i = x + -1(7 + yi) Combine like terms: 2 + -4 = -2 -2 + -8i = x + -1(7 + yi) -2 + -8i = x + (7 * -1 + iy * -1) -2 + -8i = x + (-7 + -1iy) Reorder the terms: -2 + -8i = -7 + -1iy + x Solving -2 + -8i = -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. -2 + -8i + iy = -7 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -2 + -8i + iy = -7 + 0 + x -2 + -8i + iy = -7 + x Add '2' to each side of the equation. -2 + -8i + 2 + iy = -7 + 2 + x Reorder the terms: -2 + 2 + -8i + iy = -7 + 2 + x Combine like terms: -2 + 2 = 0 0 + -8i + iy = -7 + 2 + x -8i + iy = -7 + 2 + x Combine like terms: -7 + 2 = -5 -8i + iy = -5 + x Reorder the terms: 5 + -8i + iy + -1x = -5 + x + 5 + -1x Reorder the terms: 5 + -8i + iy + -1x = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 5 + -8i + iy + -1x = 0 + x + -1x 5 + -8i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 5 + -8i + iy + -1x = 0 The solution to this equation could not be determined.
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