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Simplifying (2x + -6) + -3i = 10 + -3yi Reorder the terms: (-6 + 2x) + -3i = 10 + -3yi Remove parenthesis around (-6 + 2x) -6 + 2x + -3i = 10 + -3yi Reorder the terms: -6 + -3i + 2x = 10 + -3yi Solving -6 + -3i + 2x = 10 + -3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3iy' to each side of the equation. -6 + -3i + 3iy + 2x = 10 + -3iy + 3iy Combine like terms: -3iy + 3iy = 0 -6 + -3i + 3iy + 2x = 10 + 0 -6 + -3i + 3iy + 2x = 10 Add '6' to each side of the equation. -6 + -3i + 3iy + 6 + 2x = 10 + 6 Reorder the terms: -6 + 6 + -3i + 3iy + 2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -3i + 3iy + 2x = 10 + 6 -3i + 3iy + 2x = 10 + 6 Combine like terms: 10 + 6 = 16 -3i + 3iy + 2x = 16 Add '-2x' to each side of the equation. -3i + 3iy + 2x + -2x = 16 + -2x Combine like terms: 2x + -2x = 0 -3i + 3iy + 0 = 16 + -2x -3i + 3iy = 16 + -2x Reorder the terms: -16 + -3i + 3iy + 2x = 16 + -2x + -16 + 2x Reorder the terms: -16 + -3i + 3iy + 2x = 16 + -16 + -2x + 2x Combine like terms: 16 + -16 = 0 -16 + -3i + 3iy + 2x = 0 + -2x + 2x -16 + -3i + 3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -16 + -3i + 3iy + 2x = 0 The solution to this equation could not be determined.
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