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Simplifying 9p + 9q + -3(9p + -4q + 8r) = 0 9p + 9q + (9p * -3 + -4q * -3 + 8r * -3) = 0 9p + 9q + (-27p + 12q + -24r) = 0 Reorder the terms: 9p + -27p + 9q + 12q + -24r = 0 Combine like terms: 9p + -27p = -18p -18p + 9q + 12q + -24r = 0 Combine like terms: 9q + 12q = 21q -18p + 21q + -24r = 0 Solving -18p + 21q + -24r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21q' to each side of the equation. -18p + 21q + -21q + -24r = 0 + -21q Combine like terms: 21q + -21q = 0 -18p + 0 + -24r = 0 + -21q -18p + -24r = 0 + -21q Remove the zero: -18p + -24r = -21q Add '24r' to each side of the equation. -18p + -24r + 24r = -21q + 24r Combine like terms: -24r + 24r = 0 -18p + 0 = -21q + 24r -18p = -21q + 24r Divide each side by '-18'. p = 1.166666667q + -1.333333333r Simplifying p = 1.166666667q + -1.333333333r
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