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Simplifying -6x + 10i = 12 + yi Reorder the terms: 10i + -6x = 12 + yi Solving 10i + -6x = 12 + 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. 10i + -1iy + -6x = 12 + iy + -1iy Combine like terms: iy + -1iy = 0 10i + -1iy + -6x = 12 + 0 10i + -1iy + -6x = 12 Add '6x' to each side of the equation. 10i + -1iy + -6x + 6x = 12 + 6x Combine like terms: -6x + 6x = 0 10i + -1iy + 0 = 12 + 6x 10i + -1iy = 12 + 6x Reorder the terms: -12 + 10i + -1iy + -6x = 12 + 6x + -12 + -6x Reorder the terms: -12 + 10i + -1iy + -6x = 12 + -12 + 6x + -6x Combine like terms: 12 + -12 = 0 -12 + 10i + -1iy + -6x = 0 + 6x + -6x -12 + 10i + -1iy + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 10i + -1iy + -6x = 0 The solution to this equation could not be determined.
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