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Simplifying 2p + -3q + r = 12 Solving 2p + -3q + r = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 2p + -3q + 3q + r = 12 + 3q Combine like terms: -3q + 3q = 0 2p + 0 + r = 12 + 3q 2p + r = 12 + 3q Add '-1r' to each side of the equation. 2p + r + -1r = 12 + 3q + -1r Combine like terms: r + -1r = 0 2p + 0 = 12 + 3q + -1r 2p = 12 + 3q + -1r Divide each side by '2'. p = 6 + 1.5q + -0.5r Simplifying p = 6 + 1.5q + -0.5r
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