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Simplifying 3p + 5q + -6(3p + -3q + 3r) = 0 3p + 5q + (3p * -6 + -3q * -6 + 3r * -6) = 0 3p + 5q + (-18p + 18q + -18r) = 0 Reorder the terms: 3p + -18p + 5q + 18q + -18r = 0 Combine like terms: 3p + -18p = -15p -15p + 5q + 18q + -18r = 0 Combine like terms: 5q + 18q = 23q -15p + 23q + -18r = 0 Solving -15p + 23q + -18r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23q' to each side of the equation. -15p + 23q + -23q + -18r = 0 + -23q Combine like terms: 23q + -23q = 0 -15p + 0 + -18r = 0 + -23q -15p + -18r = 0 + -23q Remove the zero: -15p + -18r = -23q Add '18r' to each side of the equation. -15p + -18r + 18r = -23q + 18r Combine like terms: -18r + 18r = 0 -15p + 0 = -23q + 18r -15p = -23q + 18r Divide each side by '-15'. p = 1.533333333q + -1.2r Simplifying p = 1.533333333q + -1.2r
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