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Simplifying 9p + 4q + -9(4p + -5q) = 0 9p + 4q + (4p * -9 + -5q * -9) = 0 9p + 4q + (-36p + 45q) = 0 Reorder the terms: 9p + -36p + 4q + 45q = 0 Combine like terms: 9p + -36p = -27p -27p + 4q + 45q = 0 Combine like terms: 4q + 45q = 49q -27p + 49q = 0 Solving -27p + 49q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49q' to each side of the equation. -27p + 49q + -49q = 0 + -49q Combine like terms: 49q + -49q = 0 -27p + 0 = 0 + -49q -27p = 0 + -49q Remove the zero: -27p = -49q Divide each side by '-27'. p = 1.814814815q Simplifying p = 1.814814815q
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