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Simplifying 4p + 9q + -7(7p + -5q) = 0 4p + 9q + (7p * -7 + -5q * -7) = 0 4p + 9q + (-49p + 35q) = 0 Reorder the terms: 4p + -49p + 9q + 35q = 0 Combine like terms: 4p + -49p = -45p -45p + 9q + 35q = 0 Combine like terms: 9q + 35q = 44q -45p + 44q = 0 Solving -45p + 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. -45p + 44q + -44q = 0 + -44q Combine like terms: 44q + -44q = 0 -45p + 0 = 0 + -44q -45p = 0 + -44q Remove the zero: -45p = -44q Divide each side by '-45'. p = 0.9777777778q Simplifying p = 0.9777777778q
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