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Simplifying 3p + 9q + -3(6p + -5q) = 0 3p + 9q + (6p * -3 + -5q * -3) = 0 3p + 9q + (-18p + 15q) = 0 Reorder the terms: 3p + -18p + 9q + 15q = 0 Combine like terms: 3p + -18p = -15p -15p + 9q + 15q = 0 Combine like terms: 9q + 15q = 24q -15p + 24q = 0 Solving -15p + 24q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24q' to each side of the equation. -15p + 24q + -24q = 0 + -24q Combine like terms: 24q + -24q = 0 -15p + 0 = 0 + -24q -15p = 0 + -24q Remove the zero: -15p = -24q Divide each side by '-15'. p = 1.6q Simplifying p = 1.6q
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