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Simplifying 5p + -1q + 3r + -3p + s + 4q = 0 Reorder the terms: 5p + -3p + -1q + 4q + 3r + s = 0 Combine like terms: 5p + -3p = 2p 2p + -1q + 4q + 3r + s = 0 Combine like terms: -1q + 4q = 3q 2p + 3q + 3r + s = 0 Solving 2p + 3q + 3r + s = 0 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 + 3r + -3q + s = 0 + -3q Reorder the terms: 2p + 3q + -3q + 3r + s = 0 + -3q Combine like terms: 3q + -3q = 0 2p + 0 + 3r + s = 0 + -3q 2p + 3r + s = 0 + -3q Remove the zero: 2p + 3r + s = -3q Add '-3r' to each side of the equation. 2p + 3r + -3r + s = -3q + -3r Combine like terms: 3r + -3r = 0 2p + 0 + s = -3q + -3r 2p + s = -3q + -3r Add '-1s' to each side of the equation. 2p + s + -1s = -3q + -3r + -1s Combine like terms: s + -1s = 0 2p + 0 = -3q + -3r + -1s 2p = -3q + -3r + -1s Divide each side by '2'. p = -1.5q + -1.5r + -0.5s Simplifying p = -1.5q + -1.5r + -0.5s
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