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Simplifying 5p + 6q + -9(3p + -4q) = 0 5p + 6q + (3p * -9 + -4q * -9) = 0 5p + 6q + (-27p + 36q) = 0 Reorder the terms: 5p + -27p + 6q + 36q = 0 Combine like terms: 5p + -27p = -22p -22p + 6q + 36q = 0 Combine like terms: 6q + 36q = 42q -22p + 42q = 0 Solving -22p + 42q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42q' to each side of the equation. -22p + 42q + -42q = 0 + -42q Combine like terms: 42q + -42q = 0 -22p + 0 = 0 + -42q -22p = 0 + -42q Remove the zero: -22p = -42q Divide each side by '-22'. p = 1.909090909q Simplifying p = 1.909090909q
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