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Simplifying 12p + 4q + -10p + -9r = 0 Reorder the terms: 12p + -10p + 4q + -9r = 0 Combine like terms: 12p + -10p = 2p 2p + 4q + -9r = 0 Solving 2p + 4q + -9r = 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. 2p + 4q + -4q + -9r = 0 + -4q Combine like terms: 4q + -4q = 0 2p + 0 + -9r = 0 + -4q 2p + -9r = 0 + -4q Remove the zero: 2p + -9r = -4q Add '9r' to each side of the equation. 2p + -9r + 9r = -4q + 9r Combine like terms: -9r + 9r = 0 2p + 0 = -4q + 9r 2p = -4q + 9r Divide each side by '2'. p = -2q + 4.5r Simplifying p = -2q + 4.5r
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