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Simplifying 3x + 5i = 12 + 2yi Reorder the terms: 5i + 3x = 12 + 2yi Solving 5i + 3x = 12 + 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. 5i + -2iy + 3x = 12 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 5i + -2iy + 3x = 12 + 0 5i + -2iy + 3x = 12 Add '-3x' to each side of the equation. 5i + -2iy + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 5i + -2iy + 0 = 12 + -3x 5i + -2iy = 12 + -3x Reorder the terms: -12 + 5i + -2iy + 3x = 12 + -3x + -12 + 3x Reorder the terms: -12 + 5i + -2iy + 3x = 12 + -12 + -3x + 3x Combine like terms: 12 + -12 = 0 -12 + 5i + -2iy + 3x = 0 + -3x + 3x -12 + 5i + -2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5i + -2iy + 3x = 0 The solution to this equation could not be determined.
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