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Simplifying 9p + 7q + -5(5p + -2q) = 0 9p + 7q + (5p * -5 + -2q * -5) = 0 9p + 7q + (-25p + 10q) = 0 Reorder the terms: 9p + -25p + 7q + 10q = 0 Combine like terms: 9p + -25p = -16p -16p + 7q + 10q = 0 Combine like terms: 7q + 10q = 17q -16p + 17q = 0 Solving -16p + 17q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17q' to each side of the equation. -16p + 17q + -17q = 0 + -17q Combine like terms: 17q + -17q = 0 -16p + 0 = 0 + -17q -16p = 0 + -17q Remove the zero: -16p = -17q Divide each side by '-16'. p = 1.0625q Simplifying p = 1.0625q
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