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Simplifying (9x + -5) + -6i = 11 + 2yi Reorder the terms: (-5 + 9x) + -6i = 11 + 2yi Remove parenthesis around (-5 + 9x) -5 + 9x + -6i = 11 + 2yi Reorder the terms: -5 + -6i + 9x = 11 + 2yi Solving -5 + -6i + 9x = 11 + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. -5 + -6i + -2iy + 9x = 11 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 -5 + -6i + -2iy + 9x = 11 + 0 -5 + -6i + -2iy + 9x = 11 Add '5' to each side of the equation. -5 + -6i + -2iy + 5 + 9x = 11 + 5 Reorder the terms: -5 + 5 + -6i + -2iy + 9x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -6i + -2iy + 9x = 11 + 5 -6i + -2iy + 9x = 11 + 5 Combine like terms: 11 + 5 = 16 -6i + -2iy + 9x = 16 Add '-9x' to each side of the equation. -6i + -2iy + 9x + -9x = 16 + -9x Combine like terms: 9x + -9x = 0 -6i + -2iy + 0 = 16 + -9x -6i + -2iy = 16 + -9x Reorder the terms: -16 + -6i + -2iy + 9x = 16 + -9x + -16 + 9x Reorder the terms: -16 + -6i + -2iy + 9x = 16 + -16 + -9x + 9x Combine like terms: 16 + -16 = 0 -16 + -6i + -2iy + 9x = 0 + -9x + 9x -16 + -6i + -2iy + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 -16 + -6i + -2iy + 9x = 0 The solution to this equation could not be determined.
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