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Simplifying (9p + -7q + 9r) + -2(-9p + 8q + -6r) = 0 Remove parenthesis around (9p + -7q + 9r) 9p + -7q + 9r + -2(-9p + 8q + -6r) = 0 9p + -7q + 9r + (-9p * -2 + 8q * -2 + -6r * -2) = 0 9p + -7q + 9r + (18p + -16q + 12r) = 0 Reorder the terms: 9p + 18p + -7q + -16q + 9r + 12r = 0 Combine like terms: 9p + 18p = 27p 27p + -7q + -16q + 9r + 12r = 0 Combine like terms: -7q + -16q = -23q 27p + -23q + 9r + 12r = 0 Combine like terms: 9r + 12r = 21r 27p + -23q + 21r = 0 Solving 27p + -23q + 21r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23q' to each side of the equation. 27p + -23q + 23q + 21r = 0 + 23q Combine like terms: -23q + 23q = 0 27p + 0 + 21r = 0 + 23q 27p + 21r = 0 + 23q Remove the zero: 27p + 21r = 23q Add '-21r' to each side of the equation. 27p + 21r + -21r = 23q + -21r Combine like terms: 21r + -21r = 0 27p + 0 = 23q + -21r 27p = 23q + -21r Divide each side by '27'. p = 0.8518518519q + -0.7777777778r Simplifying p = 0.8518518519q + -0.7777777778r
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