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Simplifying (4q + -5r + 7q) + -1(7r + -2q + 3p) = 0 Reorder the terms: (4q + 7q + -5r) + -1(7r + -2q + 3p) = 0 Combine like terms: 4q + 7q = 11q (11q + -5r) + -1(7r + -2q + 3p) = 0 Remove parenthesis around (11q + -5r) 11q + -5r + -1(7r + -2q + 3p) = 0 Reorder the terms: 11q + -5r + -1(3p + -2q + 7r) = 0 11q + -5r + (3p * -1 + -2q * -1 + 7r * -1) = 0 11q + -5r + (-3p + 2q + -7r) = 0 Reorder the terms: -3p + 11q + 2q + -5r + -7r = 0 Combine like terms: 11q + 2q = 13q -3p + 13q + -5r + -7r = 0 Combine like terms: -5r + -7r = -12r -3p + 13q + -12r = 0 Solving -3p + 13q + -12r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13q' to each side of the equation. -3p + 13q + -13q + -12r = 0 + -13q Combine like terms: 13q + -13q = 0 -3p + 0 + -12r = 0 + -13q -3p + -12r = 0 + -13q Remove the zero: -3p + -12r = -13q Add '12r' to each side of the equation. -3p + -12r + 12r = -13q + 12r Combine like terms: -12r + 12r = 0 -3p + 0 = -13q + 12r -3p = -13q + 12r Divide each side by '-3'. p = 4.333333333q + -4r Simplifying p = 4.333333333q + -4r
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