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Simplifying 7p + 8q + -9(8p + -4q) = 0 7p + 8q + (8p * -9 + -4q * -9) = 0 7p + 8q + (-72p + 36q) = 0 Reorder the terms: 7p + -72p + 8q + 36q = 0 Combine like terms: 7p + -72p = -65p -65p + 8q + 36q = 0 Combine like terms: 8q + 36q = 44q -65p + 44q = 0 Solving -65p + 44q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44q' to each side of the equation. -65p + 44q + -44q = 0 + -44q Combine like terms: 44q + -44q = 0 -65p + 0 = 0 + -44q -65p = 0 + -44q Remove the zero: -65p = -44q Divide each side by '-65'. p = 0.6769230769q Simplifying p = 0.6769230769q
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