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Simplifying (2 + -1I) * X + (3I + -7) * Y + 2 = 0 Reorder the terms for easier multiplication: X(2 + -1I) + (3I + -7) * Y + 2 = 0 (2 * X + -1I * X) + (3I + -7) * Y + 2 = 0 Reorder the terms: (-1IX + 2X) + (3I + -7) * Y + 2 = 0 (-1IX + 2X) + (3I + -7) * Y + 2 = 0 Reorder the terms: -1IX + 2X + (-7 + 3I) * Y + 2 = 0 Reorder the terms for easier multiplication: -1IX + 2X + Y(-7 + 3I) + 2 = 0 -1IX + 2X + (-7 * Y + 3I * Y) + 2 = 0 Reorder the terms: -1IX + 2X + (3IY + -7Y) + 2 = 0 -1IX + 2X + (3IY + -7Y) + 2 = 0 Reorder the terms: 2 + -1IX + 3IY + 2X + -7Y = 0 Solving 2 + -1IX + 3IY + 2X + -7Y = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1IX + 3IY + 2X + -2 + -7Y = 0 + -2 Reorder the terms: 2 + -2 + -1IX + 3IY + 2X + -7Y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1IX + 3IY + 2X + -7Y = 0 + -2 -1IX + 3IY + 2X + -7Y = 0 + -2 Combine like terms: 0 + -2 = -2 -1IX + 3IY + 2X + -7Y = -2 Add '-2X' to each side of the equation. -1IX + 3IY + 2X + -2X + -7Y = -2 + -2X Combine like terms: 2X + -2X = 0 -1IX + 3IY + 0 + -7Y = -2 + -2X -1IX + 3IY + -7Y = -2 + -2X Add '7Y' to each side of the equation. -1IX + 3IY + -7Y + 7Y = -2 + -2X + 7Y Combine like terms: -7Y + 7Y = 0 -1IX + 3IY + 0 = -2 + -2X + 7Y -1IX + 3IY = -2 + -2X + 7Y Reorder the terms: 2 + -1IX + 3IY + 2X + -7Y = -2 + -2X + 7Y + 2 + 2X + -7Y Reorder the terms: 2 + -1IX + 3IY + 2X + -7Y = -2 + 2 + -2X + 2X + 7Y + -7Y Combine like terms: -2 + 2 = 0 2 + -1IX + 3IY + 2X + -7Y = 0 + -2X + 2X + 7Y + -7Y 2 + -1IX + 3IY + 2X + -7Y = -2X + 2X + 7Y + -7Y Combine like terms: -2X + 2X = 0 2 + -1IX + 3IY + 2X + -7Y = 0 + 7Y + -7Y 2 + -1IX + 3IY + 2X + -7Y = 7Y + -7Y Combine like terms: 7Y + -7Y = 0 2 + -1IX + 3IY + 2X + -7Y = 0 The solution to this equation could not be determined.
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