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Simplifying (11p + -7q + -1r) + (3p + q + -9r) + (-1p + -1q + 2r) = 0 Remove parenthesis around (11p + -7q + -1r) 11p + -7q + -1r + (3p + q + -9r) + (-1p + -1q + 2r) = 0 Remove parenthesis around (3p + q + -9r) 11p + -7q + -1r + 3p + q + -9r + (-1p + -1q + 2r) = 0 Remove parenthesis around (-1p + -1q + 2r) 11p + -7q + -1r + 3p + q + -9r + -1p + -1q + 2r = 0 Reorder the terms: 11p + 3p + -1p + -7q + q + -1q + -1r + -9r + 2r = 0 Combine like terms: 11p + 3p = 14p 14p + -1p + -7q + q + -1q + -1r + -9r + 2r = 0 Combine like terms: 14p + -1p = 13p 13p + -7q + q + -1q + -1r + -9r + 2r = 0 Combine like terms: -7q + q = -6q 13p + -6q + -1q + -1r + -9r + 2r = 0 Combine like terms: -6q + -1q = -7q 13p + -7q + -1r + -9r + 2r = 0 Combine like terms: -1r + -9r = -10r 13p + -7q + -10r + 2r = 0 Combine like terms: -10r + 2r = -8r 13p + -7q + -8r = 0 Solving 13p + -7q + -8r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. 13p + -7q + 7q + -8r = 0 + 7q Combine like terms: -7q + 7q = 0 13p + 0 + -8r = 0 + 7q 13p + -8r = 0 + 7q Remove the zero: 13p + -8r = 7q Add '8r' to each side of the equation. 13p + -8r + 8r = 7q + 8r Combine like terms: -8r + 8r = 0 13p + 0 = 7q + 8r 13p = 7q + 8r Divide each side by '13'. p = 0.5384615385q + 0.6153846154r Simplifying p = 0.5384615385q + 0.6153846154r
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