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Simplifying 6p + 9q + -6(9p + -8q) = 0 6p + 9q + (9p * -6 + -8q * -6) = 0 6p + 9q + (-54p + 48q) = 0 Reorder the terms: 6p + -54p + 9q + 48q = 0 Combine like terms: 6p + -54p = -48p -48p + 9q + 48q = 0 Combine like terms: 9q + 48q = 57q -48p + 57q = 0 Solving -48p + 57q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-57q' to each side of the equation. -48p + 57q + -57q = 0 + -57q Combine like terms: 57q + -57q = 0 -48p + 0 = 0 + -57q -48p = 0 + -57q Remove the zero: -48p = -57q Divide each side by '-48'. p = 1.1875q Simplifying p = 1.1875q
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