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Simplifying 3i + -6 = 1 + -1x + -1yi Reorder the terms: -6 + 3i = 1 + -1x + -1yi Reorder the terms: -6 + 3i = 1 + -1iy + -1x Solving -6 + 3i = 1 + -1iy + -1x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iy' to each side of the equation. -6 + 3i + iy = 1 + -1iy + iy + -1x Combine like terms: -1iy + iy = 0 -6 + 3i + iy = 1 + 0 + -1x -6 + 3i + iy = 1 + -1x Add '6' to each side of the equation. -6 + 3i + 6 + iy = 1 + 6 + -1x Reorder the terms: -6 + 6 + 3i + iy = 1 + 6 + -1x Combine like terms: -6 + 6 = 0 0 + 3i + iy = 1 + 6 + -1x 3i + iy = 1 + 6 + -1x Combine like terms: 1 + 6 = 7 3i + iy = 7 + -1x Reorder the terms: -7 + 3i + iy + x = 7 + -1x + -7 + x Reorder the terms: -7 + 3i + iy + x = 7 + -7 + -1x + x Combine like terms: 7 + -7 = 0 -7 + 3i + iy + x = 0 + -1x + x -7 + 3i + iy + x = -1x + x Combine like terms: -1x + x = 0 -7 + 3i + iy + x = 0 The solution to this equation could not be determined.
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