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Simplifying (4q + -5r + 7p) + -1(7r + -2q + 3p) = 0 Reorder the terms: (7p + 4q + -5r) + -1(7r + -2q + 3p) = 0 Remove parenthesis around (7p + 4q + -5r) 7p + 4q + -5r + -1(7r + -2q + 3p) = 0 Reorder the terms: 7p + 4q + -5r + -1(3p + -2q + 7r) = 0 7p + 4q + -5r + (3p * -1 + -2q * -1 + 7r * -1) = 0 7p + 4q + -5r + (-3p + 2q + -7r) = 0 Reorder the terms: 7p + -3p + 4q + 2q + -5r + -7r = 0 Combine like terms: 7p + -3p = 4p 4p + 4q + 2q + -5r + -7r = 0 Combine like terms: 4q + 2q = 6q 4p + 6q + -5r + -7r = 0 Combine like terms: -5r + -7r = -12r 4p + 6q + -12r = 0 Solving 4p + 6q + -12r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. 4p + 6q + -6q + -12r = 0 + -6q Combine like terms: 6q + -6q = 0 4p + 0 + -12r = 0 + -6q 4p + -12r = 0 + -6q Remove the zero: 4p + -12r = -6q Add '12r' to each side of the equation. 4p + -12r + 12r = -6q + 12r Combine like terms: -12r + 12r = 0 4p + 0 = -6q + 12r 4p = -6q + 12r Divide each side by '4'. p = -1.5q + 3r Simplifying p = -1.5q + 3r
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