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Simplifying 5p + 6q + -4r + 2p + -3q + 7r + -3p = 0 Reorder the terms: 5p + 2p + -3p + 6q + -3q + -4r + 7r = 0 Combine like terms: 5p + 2p = 7p 7p + -3p + 6q + -3q + -4r + 7r = 0 Combine like terms: 7p + -3p = 4p 4p + 6q + -3q + -4r + 7r = 0 Combine like terms: 6q + -3q = 3q 4p + 3q + -4r + 7r = 0 Combine like terms: -4r + 7r = 3r 4p + 3q + 3r = 0 Solving 4p + 3q + 3r = 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. 4p + 3q + -3q + 3r = 0 + -3q Combine like terms: 3q + -3q = 0 4p + 0 + 3r = 0 + -3q 4p + 3r = 0 + -3q Remove the zero: 4p + 3r = -3q Add '-3r' to each side of the equation. 4p + 3r + -3r = -3q + -3r Combine like terms: 3r + -3r = 0 4p + 0 = -3q + -3r 4p = -3q + -3r Divide each side by '4'. p = -0.75q + -0.75r Simplifying p = -0.75q + -0.75r
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