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Simplifying (4p + -9q + 8r) + -5(-4p + 2q + -3r) = 0 Remove parenthesis around (4p + -9q + 8r) 4p + -9q + 8r + -5(-4p + 2q + -3r) = 0 4p + -9q + 8r + (-4p * -5 + 2q * -5 + -3r * -5) = 0 4p + -9q + 8r + (20p + -10q + 15r) = 0 Reorder the terms: 4p + 20p + -9q + -10q + 8r + 15r = 0 Combine like terms: 4p + 20p = 24p 24p + -9q + -10q + 8r + 15r = 0 Combine like terms: -9q + -10q = -19q 24p + -19q + 8r + 15r = 0 Combine like terms: 8r + 15r = 23r 24p + -19q + 23r = 0 Solving 24p + -19q + 23r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19q' to each side of the equation. 24p + -19q + 19q + 23r = 0 + 19q Combine like terms: -19q + 19q = 0 24p + 0 + 23r = 0 + 19q 24p + 23r = 0 + 19q Remove the zero: 24p + 23r = 19q Add '-23r' to each side of the equation. 24p + 23r + -23r = 19q + -23r Combine like terms: 23r + -23r = 0 24p + 0 = 19q + -23r 24p = 19q + -23r Divide each side by '24'. p = 0.7916666667q + -0.9583333333r Simplifying p = 0.7916666667q + -0.9583333333r
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