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Simplifying (6p + -5q + 4r) + -9(-6p + 4q + -4r) = 0 Remove parenthesis around (6p + -5q + 4r) 6p + -5q + 4r + -9(-6p + 4q + -4r) = 0 6p + -5q + 4r + (-6p * -9 + 4q * -9 + -4r * -9) = 0 6p + -5q + 4r + (54p + -36q + 36r) = 0 Reorder the terms: 6p + 54p + -5q + -36q + 4r + 36r = 0 Combine like terms: 6p + 54p = 60p 60p + -5q + -36q + 4r + 36r = 0 Combine like terms: -5q + -36q = -41q 60p + -41q + 4r + 36r = 0 Combine like terms: 4r + 36r = 40r 60p + -41q + 40r = 0 Solving 60p + -41q + 40r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '41q' to each side of the equation. 60p + -41q + 41q + 40r = 0 + 41q Combine like terms: -41q + 41q = 0 60p + 0 + 40r = 0 + 41q 60p + 40r = 0 + 41q Remove the zero: 60p + 40r = 41q Add '-40r' to each side of the equation. 60p + 40r + -40r = 41q + -40r Combine like terms: 40r + -40r = 0 60p + 0 = 41q + -40r 60p = 41q + -40r Divide each side by '60'. p = 0.6833333333q + -0.6666666667r Simplifying p = 0.6833333333q + -0.6666666667r
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