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Simplifying 2(p + 1)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) Reorder the terms: 2(1 + p)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) Multiply (1 + p) * (1 + -1q) 2(1(1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) 2((1 * 1 + -1q * 1) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) 2((1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) 2(1 + -1q + (1 * p + -1q * p)) + 2(q + -1p) = (1 + -1q)(p + 2) 2(1 + -1q + (1p + -1pq)) + 2(q + -1p) = (1 + -1q)(p + 2) Reorder the terms: 2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) 2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) (1 * 2 + 1p * 2 + -1pq * 2 + -1q * 2) + 2(q + -1p) = (1 + -1q)(p + 2) (2 + 2p + -2pq + -2q) + 2(q + -1p) = (1 + -1q)(p + 2) Reorder the terms: 2 + 2p + -2pq + -2q + 2(-1p + q) = (1 + -1q)(p + 2) 2 + 2p + -2pq + -2q + (-1p * 2 + q * 2) = (1 + -1q)(p + 2) 2 + 2p + -2pq + -2q + (-2p + 2q) = (1 + -1q)(p + 2) Reorder the terms: 2 + 2p + -2p + -2pq + -2q + 2q = (1 + -1q)(p + 2) Combine like terms: 2p + -2p = 0 2 + 0 + -2pq + -2q + 2q = (1 + -1q)(p + 2) 2 + -2pq + -2q + 2q = (1 + -1q)(p + 2) Combine like terms: -2q + 2q = 0 2 + -2pq + 0 = (1 + -1q)(p + 2) 2 + -2pq = (1 + -1q)(p + 2) Reorder the terms: 2 + -2pq = (1 + -1q)(2 + p) Multiply (1 + -1q) * (2 + p) 2 + -2pq = (1(2 + p) + -1q * (2 + p)) 2 + -2pq = ((2 * 1 + p * 1) + -1q * (2 + p)) 2 + -2pq = ((2 + 1p) + -1q * (2 + p)) 2 + -2pq = (2 + 1p + (2 * -1q + p * -1q)) Reorder the terms: 2 + -2pq = (2 + 1p + (-1pq + -2q)) 2 + -2pq = (2 + 1p + (-1pq + -2q)) 2 + -2pq = (2 + 1p + -1pq + -2q) Add '-2' to each side of the equation. 2 + -2 + -2pq = 2 + 1p + -1pq + -2 + -2q Combine like terms: 2 + -2 = 0 0 + -2pq = 2 + 1p + -1pq + -2 + -2q -2pq = 2 + 1p + -1pq + -2 + -2q Reorder the terms: -2pq = 2 + -2 + 1p + -1pq + -2q Combine like terms: 2 + -2 = 0 -2pq = 0 + 1p + -1pq + -2q -2pq = 1p + -1pq + -2q Solving -2pq = 1p + -1pq + -2q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -1p + -2pq = 1p + -1pq + -1p + -2q Reorder the terms: -1p + -2pq = 1p + -1p + -1pq + -2q Combine like terms: 1p + -1p = 0 -1p + -2pq = 0 + -1pq + -2q -1p + -2pq = -1pq + -2q Add 'pq' to each side of the equation. -1p + -2pq + pq = -1pq + pq + -2q Combine like terms: -2pq + pq = -1pq -1p + -1pq = -1pq + pq + -2q Combine like terms: -1pq + pq = 0 -1p + -1pq = 0 + -2q -1p + -1pq = -2q Combine like terms: -2q + 2q = 0 -1p + -1pq + 2q = 0 The solution to this equation could not be determined.
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