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Simplifying 4r(p + -7q) + 3(p + -7q) = 0 (p * 4r + -7q * 4r) + 3(p + -7q) = 0 (4pr + -28qr) + 3(p + -7q) = 0 4pr + -28qr + (p * 3 + -7q * 3) = 0 4pr + -28qr + (3p + -21q) = 0 Reorder the terms: 3p + 4pr + -21q + -28qr = 0 Solving 3p + 4pr + -21q + -28qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21q' to each side of the equation. 3p + 4pr + -21q + 21q + -28qr = 0 + 21q Combine like terms: -21q + 21q = 0 3p + 4pr + 0 + -28qr = 0 + 21q 3p + 4pr + -28qr = 0 + 21q Remove the zero: 3p + 4pr + -28qr = 21q Add '28qr' to each side of the equation. 3p + 4pr + -28qr + 28qr = 21q + 28qr Combine like terms: -28qr + 28qr = 0 3p + 4pr + 0 = 21q + 28qr 3p + 4pr = 21q + 28qr Reorder the terms: 3p + 4pr + -21q + -28qr = 21q + -21q + 28qr + -28qr Combine like terms: 21q + -21q = 0 3p + 4pr + -21q + -28qr = 0 + 28qr + -28qr 3p + 4pr + -21q + -28qr = 28qr + -28qr Combine like terms: 28qr + -28qr = 0 3p + 4pr + -21q + -28qr = 0 The solution to this equation could not be determined.
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