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Simplifying (6x + -2) + -6i = 9 + yi Reorder the terms: (-2 + 6x) + -6i = 9 + yi Remove parenthesis around (-2 + 6x) -2 + 6x + -6i = 9 + yi Reorder the terms: -2 + -6i + 6x = 9 + yi Solving -2 + -6i + 6x = 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 + -6i + -1iy + 6x = 9 + iy + -1iy Combine like terms: iy + -1iy = 0 -2 + -6i + -1iy + 6x = 9 + 0 -2 + -6i + -1iy + 6x = 9 Add '2' to each side of the equation. -2 + -6i + -1iy + 2 + 6x = 9 + 2 Reorder the terms: -2 + 2 + -6i + -1iy + 6x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -6i + -1iy + 6x = 9 + 2 -6i + -1iy + 6x = 9 + 2 Combine like terms: 9 + 2 = 11 -6i + -1iy + 6x = 11 Add '-6x' to each side of the equation. -6i + -1iy + 6x + -6x = 11 + -6x Combine like terms: 6x + -6x = 0 -6i + -1iy + 0 = 11 + -6x -6i + -1iy = 11 + -6x Reorder the terms: -11 + -6i + -1iy + 6x = 11 + -6x + -11 + 6x Reorder the terms: -11 + -6i + -1iy + 6x = 11 + -11 + -6x + 6x Combine like terms: 11 + -11 = 0 -11 + -6i + -1iy + 6x = 0 + -6x + 6x -11 + -6i + -1iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -11 + -6i + -1iy + 6x = 0 The solution to this equation could not be determined.
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