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Simplifying (3p + 4q) + -1(2r + 9s) = 0 Remove parenthesis around (3p + 4q) 3p + 4q + -1(2r + 9s) = 0 3p + 4q + (2r * -1 + 9s * -1) = 0 3p + 4q + (-2r + -9s) = 0 Solving 3p + 4q + -2r + -9s = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. 3p + 4q + -2r + -4q + -9s = 0 + -4q Reorder the terms: 3p + 4q + -4q + -2r + -9s = 0 + -4q Combine like terms: 4q + -4q = 0 3p + 0 + -2r + -9s = 0 + -4q 3p + -2r + -9s = 0 + -4q Remove the zero: 3p + -2r + -9s = -4q Add '2r' to each side of the equation. 3p + -2r + 2r + -9s = -4q + 2r Combine like terms: -2r + 2r = 0 3p + 0 + -9s = -4q + 2r 3p + -9s = -4q + 2r Add '9s' to each side of the equation. 3p + -9s + 9s = -4q + 2r + 9s Combine like terms: -9s + 9s = 0 3p + 0 = -4q + 2r + 9s 3p = -4q + 2r + 9s Divide each side by '3'. p = -1.333333333q + 0.6666666667r + 3s Simplifying p = -1.333333333q + 0.6666666667r + 3s
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