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Simplifying (9p + -4q + 9r) + -6(-9p + 2q + -8r) = 0 Remove parenthesis around (9p + -4q + 9r) 9p + -4q + 9r + -6(-9p + 2q + -8r) = 0 9p + -4q + 9r + (-9p * -6 + 2q * -6 + -8r * -6) = 0 9p + -4q + 9r + (54p + -12q + 48r) = 0 Reorder the terms: 9p + 54p + -4q + -12q + 9r + 48r = 0 Combine like terms: 9p + 54p = 63p 63p + -4q + -12q + 9r + 48r = 0 Combine like terms: -4q + -12q = -16q 63p + -16q + 9r + 48r = 0 Combine like terms: 9r + 48r = 57r 63p + -16q + 57r = 0 Solving 63p + -16q + 57r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16q' to each side of the equation. 63p + -16q + 16q + 57r = 0 + 16q Combine like terms: -16q + 16q = 0 63p + 0 + 57r = 0 + 16q 63p + 57r = 0 + 16q Remove the zero: 63p + 57r = 16q Add '-57r' to each side of the equation. 63p + 57r + -57r = 16q + -57r Combine like terms: 57r + -57r = 0 63p + 0 = 16q + -57r 63p = 16q + -57r Divide each side by '63'. p = 0.253968254q + -0.9047619048r Simplifying p = 0.253968254q + -0.9047619048r
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