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Simplifying (5p + -3q + -1r) + (-1p + -2q + 3r) = 0 Remove parenthesis around (5p + -3q + -1r) 5p + -3q + -1r + (-1p + -2q + 3r) = 0 Remove parenthesis around (-1p + -2q + 3r) 5p + -3q + -1r + -1p + -2q + 3r = 0 Reorder the terms: 5p + -1p + -3q + -2q + -1r + 3r = 0 Combine like terms: 5p + -1p = 4p 4p + -3q + -2q + -1r + 3r = 0 Combine like terms: -3q + -2q = -5q 4p + -5q + -1r + 3r = 0 Combine like terms: -1r + 3r = 2r 4p + -5q + 2r = 0 Solving 4p + -5q + 2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. 4p + -5q + 5q + 2r = 0 + 5q Combine like terms: -5q + 5q = 0 4p + 0 + 2r = 0 + 5q 4p + 2r = 0 + 5q Remove the zero: 4p + 2r = 5q Add '-2r' to each side of the equation. 4p + 2r + -2r = 5q + -2r Combine like terms: 2r + -2r = 0 4p + 0 = 5q + -2r 4p = 5q + -2r Divide each side by '4'. p = 1.25q + -0.5r Simplifying p = 1.25q + -0.5r
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