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Simplifying (1 + -1p)(1 + -1q) = 0 Multiply (1 + -1p) * (1 + -1q) (1(1 + -1q) + -1p * (1 + -1q)) = 0 ((1 * 1 + -1q * 1) + -1p * (1 + -1q)) = 0 ((1 + -1q) + -1p * (1 + -1q)) = 0 (1 + -1q + (1 * -1p + -1q * -1p)) = 0 (1 + -1q + (-1p + 1pq)) = 0 Reorder the terms: (1 + -1p + 1pq + -1q) = 0 (1 + -1p + 1pq + -1q) = 0 Solving 1 + -1p + 1pq + -1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1p + 1pq + -1 + -1q = 0 + -1 Reorder the terms: 1 + -1 + -1p + 1pq + -1q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p + 1pq + -1q = 0 + -1 -1p + 1pq + -1q = 0 + -1 Combine like terms: 0 + -1 = -1 -1p + 1pq + -1q = -1 Add 'q' to each side of the equation. -1p + 1pq + -1q + q = -1 + q Combine like terms: -1q + q = 0 -1p + 1pq + 0 = -1 + q -1p + 1pq = -1 + q Reorder the terms: 1 + -1p + 1pq + -1q = -1 + q + 1 + -1q Reorder the terms: 1 + -1p + 1pq + -1q = -1 + 1 + q + -1q Combine like terms: -1 + 1 = 0 1 + -1p + 1pq + -1q = 0 + q + -1q 1 + -1p + 1pq + -1q = q + -1q Combine like terms: q + -1q = 0 1 + -1p + 1pq + -1q = 0 The solution to this equation could not be determined.
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