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Simplifying 2r(p + 5q) + -5(p + 5q) = 0 (p * 2r + 5q * 2r) + -5(p + 5q) = 0 (2pr + 10qr) + -5(p + 5q) = 0 2pr + 10qr + (p * -5 + 5q * -5) = 0 2pr + 10qr + (-5p + -25q) = 0 Reorder the terms: -5p + 2pr + -25q + 10qr = 0 Solving -5p + 2pr + -25q + 10qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25q' to each side of the equation. -5p + 2pr + -25q + 25q + 10qr = 0 + 25q Combine like terms: -25q + 25q = 0 -5p + 2pr + 0 + 10qr = 0 + 25q -5p + 2pr + 10qr = 0 + 25q Remove the zero: -5p + 2pr + 10qr = 25q Add '-10qr' to each side of the equation. -5p + 2pr + 10qr + -10qr = 25q + -10qr Combine like terms: 10qr + -10qr = 0 -5p + 2pr + 0 = 25q + -10qr -5p + 2pr = 25q + -10qr Reorder the terms: -5p + 2pr + -25q + 10qr = 25q + -25q + -10qr + 10qr Combine like terms: 25q + -25q = 0 -5p + 2pr + -25q + 10qr = 0 + -10qr + 10qr -5p + 2pr + -25q + 10qr = -10qr + 10qr Combine like terms: -10qr + 10qr = 0 -5p + 2pr + -25q + 10qr = 0 The solution to this equation could not be determined.
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