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Simplifying (p + -2q)(-1r + 3q) = 0 Reorder the terms: (p + -2q)(3q + -1r) = 0 Multiply (p + -2q) * (3q + -1r) (p(3q + -1r) + -2q * (3q + -1r)) = 0 ((3q * p + -1r * p) + -2q * (3q + -1r)) = 0 ((3pq + -1pr) + -2q * (3q + -1r)) = 0 (3pq + -1pr + (3q * -2q + -1r * -2q)) = 0 Reorder the terms: (3pq + -1pr + (2qr + -6q2)) = 0 (3pq + -1pr + (2qr + -6q2)) = 0 (3pq + -1pr + 2qr + -6q2) = 0 Solving 3pq + -1pr + 2qr + -6q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2qr' to each side of the equation. 3pq + -1pr + 2qr + -2qr + -6q2 = 0 + -2qr Combine like terms: 2qr + -2qr = 0 3pq + -1pr + 0 + -6q2 = 0 + -2qr 3pq + -1pr + -6q2 = 0 + -2qr Remove the zero: 3pq + -1pr + -6q2 = -2qr Add '6q2' to each side of the equation. 3pq + -1pr + -6q2 + 6q2 = -2qr + 6q2 Combine like terms: -6q2 + 6q2 = 0 3pq + -1pr + 0 = -2qr + 6q2 3pq + -1pr = -2qr + 6q2 Reorder the terms: 3pq + -1pr + 2qr + -6q2 = -2qr + 2qr + 6q2 + -6q2 Combine like terms: -2qr + 2qr = 0 3pq + -1pr + 2qr + -6q2 = 0 + 6q2 + -6q2 3pq + -1pr + 2qr + -6q2 = 6q2 + -6q2 Combine like terms: 6q2 + -6q2 = 0 3pq + -1pr + 2qr + -6q2 = 0 The solution to this equation could not be determined.
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