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Simplifying 8p + -6p + 3q + -2r + -4q + -2r = 0 Reorder the terms: 8p + -6p + 3q + -4q + -2r + -2r = 0 Combine like terms: 8p + -6p = 2p 2p + 3q + -4q + -2r + -2r = 0 Combine like terms: 3q + -4q = -1q 2p + -1q + -2r + -2r = 0 Combine like terms: -2r + -2r = -4r 2p + -1q + -4r = 0 Solving 2p + -1q + -4r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. 2p + -1q + q + -4r = 0 + q Combine like terms: -1q + q = 0 2p + 0 + -4r = 0 + q 2p + -4r = 0 + q Remove the zero: 2p + -4r = q Add '4r' to each side of the equation. 2p + -4r + 4r = q + 4r Combine like terms: -4r + 4r = 0 2p + 0 = q + 4r 2p = q + 4r Divide each side by '2'. p = 0.5q + 2r Simplifying p = 0.5q + 2r
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