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Simplifying 36XY + -6(X + Y) + (1 + -1C) = 0 36XY + (X * -6 + Y * -6) + (1 + -1C) = 0 36XY + (-6X + -6Y) + (1 + -1C) = 0 Remove parenthesis around (1 + -1C) 36XY + -6X + -6Y + 1 + -1C = 0 Reorder the terms: 1 + -1C + -6X + 36XY + -6Y = 0 Solving 1 + -1C + -6X + 36XY + -6Y = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1C + -6X + 36XY + -1 + -6Y = 0 + -1 Reorder the terms: 1 + -1 + -1C + -6X + 36XY + -6Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1C + -6X + 36XY + -6Y = 0 + -1 -1C + -6X + 36XY + -6Y = 0 + -1 Combine like terms: 0 + -1 = -1 -1C + -6X + 36XY + -6Y = -1 Add '6X' to each side of the equation. -1C + -6X + 36XY + 6X + -6Y = -1 + 6X Reorder the terms: -1C + -6X + 6X + 36XY + -6Y = -1 + 6X Combine like terms: -6X + 6X = 0 -1C + 0 + 36XY + -6Y = -1 + 6X -1C + 36XY + -6Y = -1 + 6X Add '-36XY' to each side of the equation. -1C + 36XY + -36XY + -6Y = -1 + 6X + -36XY Combine like terms: 36XY + -36XY = 0 -1C + 0 + -6Y = -1 + 6X + -36XY -1C + -6Y = -1 + 6X + -36XY Add '6Y' to each side of the equation. -1C + -6Y + 6Y = -1 + 6X + -36XY + 6Y Combine like terms: -6Y + 6Y = 0 -1C + 0 = -1 + 6X + -36XY + 6Y -1C = -1 + 6X + -36XY + 6Y Divide each side by '-1'. C = 1 + -6X + 36XY + -6Y Simplifying C = 1 + -6X + 36XY + -6Y
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