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Simplifying 5p + 8q + -7(7p + -5q) = 0 5p + 8q + (7p * -7 + -5q * -7) = 0 5p + 8q + (-49p + 35q) = 0 Reorder the terms: 5p + -49p + 8q + 35q = 0 Combine like terms: 5p + -49p = -44p -44p + 8q + 35q = 0 Combine like terms: 8q + 35q = 43q -44p + 43q = 0 Solving -44p + 43q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-43q' to each side of the equation. -44p + 43q + -43q = 0 + -43q Combine like terms: 43q + -43q = 0 -44p + 0 = 0 + -43q -44p = 0 + -43q Remove the zero: -44p = -43q Divide each side by '-44'. p = 0.9772727273q Simplifying p = 0.9772727273q
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