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Simplifying (2x) + (3yi) = (-14 + 9i) Reorder the terms: (3iy) + (2x) = (-14 + 9i) Remove parenthesis around (-14 + 9i) (3iy) + (2x) = -14 + 9i Solving (3iy) + (2x) = -14 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. (3iy) + -9i + (2x) = -14 + 9i + -9i Reorder the terms: -9i + (3iy) + (2x) = -14 + 9i + -9i Combine like terms: 9i + -9i = 0 -9i + (3iy) + (2x) = -14 + 0 -9i + (3iy) + (2x) = -14 Add '(-2x)' to each side of the equation. -9i + (3iy) + (2x) + (-2x) = -14 + (-2x) Combine like terms: (2x) + (-2x) = 0 -9i + (3iy) + 0 = -14 + (-2x) -9i + (3iy) = -14 + (-2x) Reorder the terms: 14 + -9i + (3iy) + (2x) = -14 + (-2x) + 14 + (2x) Reorder the terms: 14 + -9i + (3iy) + (2x) = -14 + 14 + (-2x) + (2x) Combine like terms: -14 + 14 = 0 14 + -9i + (3iy) + (2x) = 0 + (-2x) + (2x) 14 + -9i + (3iy) + (2x) = (-2x) + (2x) Combine like terms: (-2x) + (2x) = 0 14 + -9i + (3iy) + (2x) = 0 The solution to this equation could not be determined.
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