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Simplifying 7p + 5q + -9(9p + -4q) = 0 7p + 5q + (9p * -9 + -4q * -9) = 0 7p + 5q + (-81p + 36q) = 0 Reorder the terms: 7p + -81p + 5q + 36q = 0 Combine like terms: 7p + -81p = -74p -74p + 5q + 36q = 0 Combine like terms: 5q + 36q = 41q -74p + 41q = 0 Solving -74p + 41q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41q' to each side of the equation. -74p + 41q + -41q = 0 + -41q Combine like terms: 41q + -41q = 0 -74p + 0 = 0 + -41q -74p = 0 + -41q Remove the zero: -74p = -41q Divide each side by '-74'. p = 0.5540540541q Simplifying p = 0.5540540541q
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