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Simplifying 7r(p + 4q) + -5(p + 4q) = 0 (p * 7r + 4q * 7r) + -5(p + 4q) = 0 (7pr + 28qr) + -5(p + 4q) = 0 7pr + 28qr + (p * -5 + 4q * -5) = 0 7pr + 28qr + (-5p + -20q) = 0 Reorder the terms: -5p + 7pr + -20q + 28qr = 0 Solving -5p + 7pr + -20q + 28qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20q' to each side of the equation. -5p + 7pr + -20q + 20q + 28qr = 0 + 20q Combine like terms: -20q + 20q = 0 -5p + 7pr + 0 + 28qr = 0 + 20q -5p + 7pr + 28qr = 0 + 20q Remove the zero: -5p + 7pr + 28qr = 20q Add '-28qr' to each side of the equation. -5p + 7pr + 28qr + -28qr = 20q + -28qr Combine like terms: 28qr + -28qr = 0 -5p + 7pr + 0 = 20q + -28qr -5p + 7pr = 20q + -28qr Reorder the terms: -5p + 7pr + -20q + 28qr = 20q + -20q + -28qr + 28qr Combine like terms: 20q + -20q = 0 -5p + 7pr + -20q + 28qr = 0 + -28qr + 28qr -5p + 7pr + -20q + 28qr = -28qr + 28qr Combine like terms: -28qr + 28qr = 0 -5p + 7pr + -20q + 28qr = 0 The solution to this equation could not be determined.
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