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