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Simplifying (4x + -2) + -7i = 9 + yi Reorder the terms: (-2 + 4x) + -7i = 9 + yi Remove parenthesis around (-2 + 4x) -2 + 4x + -7i = 9 + yi Reorder the terms: -2 + -7i + 4x = 9 + yi Solving -2 + -7i + 4x = 9 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -2 + -7i + -1iy + 4x = 9 + iy + -1iy Combine like terms: iy + -1iy = 0 -2 + -7i + -1iy + 4x = 9 + 0 -2 + -7i + -1iy + 4x = 9 Add '2' to each side of the equation. -2 + -7i + -1iy + 2 + 4x = 9 + 2 Reorder the terms: -2 + 2 + -7i + -1iy + 4x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -7i + -1iy + 4x = 9 + 2 -7i + -1iy + 4x = 9 + 2 Combine like terms: 9 + 2 = 11 -7i + -1iy + 4x = 11 Add '-4x' to each side of the equation. -7i + -1iy + 4x + -4x = 11 + -4x Combine like terms: 4x + -4x = 0 -7i + -1iy + 0 = 11 + -4x -7i + -1iy = 11 + -4x Reorder the terms: -11 + -7i + -1iy + 4x = 11 + -4x + -11 + 4x Reorder the terms: -11 + -7i + -1iy + 4x = 11 + -11 + -4x + 4x Combine like terms: 11 + -11 = 0 -11 + -7i + -1iy + 4x = 0 + -4x + 4x -11 + -7i + -1iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -11 + -7i + -1iy + 4x = 0 The solution to this equation could not be determined.
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