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Simplifying 15p + 9q + -6r + 6q + 8r + -2p = 0 Reorder the terms: 15p + -2p + 9q + 6q + -6r + 8r = 0 Combine like terms: 15p + -2p = 13p 13p + 9q + 6q + -6r + 8r = 0 Combine like terms: 9q + 6q = 15q 13p + 15q + -6r + 8r = 0 Combine like terms: -6r + 8r = 2r 13p + 15q + 2r = 0 Solving 13p + 15q + 2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15q' to each side of the equation. 13p + 15q + -15q + 2r = 0 + -15q Combine like terms: 15q + -15q = 0 13p + 0 + 2r = 0 + -15q 13p + 2r = 0 + -15q Remove the zero: 13p + 2r = -15q Add '-2r' to each side of the equation. 13p + 2r + -2r = -15q + -2r Combine like terms: 2r + -2r = 0 13p + 0 = -15q + -2r 13p = -15q + -2r Divide each side by '13'. p = -1.153846154q + -0.1538461538r Simplifying p = -1.153846154q + -0.1538461538r
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