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Simplifying (15p + -9q + -7r) + -1(8p + 7q + -3r) = 0 Remove parenthesis around (15p + -9q + -7r) 15p + -9q + -7r + -1(8p + 7q + -3r) = 0 15p + -9q + -7r + (8p * -1 + 7q * -1 + -3r * -1) = 0 15p + -9q + -7r + (-8p + -7q + 3r) = 0 Reorder the terms: 15p + -8p + -9q + -7q + -7r + 3r = 0 Combine like terms: 15p + -8p = 7p 7p + -9q + -7q + -7r + 3r = 0 Combine like terms: -9q + -7q = -16q 7p + -16q + -7r + 3r = 0 Combine like terms: -7r + 3r = -4r 7p + -16q + -4r = 0 Solving 7p + -16q + -4r = 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. 7p + -16q + 16q + -4r = 0 + 16q Combine like terms: -16q + 16q = 0 7p + 0 + -4r = 0 + 16q 7p + -4r = 0 + 16q Remove the zero: 7p + -4r = 16q Add '4r' to each side of the equation. 7p + -4r + 4r = 16q + 4r Combine like terms: -4r + 4r = 0 7p + 0 = 16q + 4r 7p = 16q + 4r Divide each side by '7'. p = 2.285714286q + 0.5714285714r Simplifying p = 2.285714286q + 0.5714285714r
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