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Simplifying 9p + 7q + -9(2p + -6q) = 0 9p + 7q + (2p * -9 + -6q * -9) = 0 9p + 7q + (-18p + 54q) = 0 Reorder the terms: 9p + -18p + 7q + 54q = 0 Combine like terms: 9p + -18p = -9p -9p + 7q + 54q = 0 Combine like terms: 7q + 54q = 61q -9p + 61q = 0 Solving -9p + 61q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-61q' to each side of the equation. -9p + 61q + -61q = 0 + -61q Combine like terms: 61q + -61q = 0 -9p + 0 = 0 + -61q -9p = 0 + -61q Remove the zero: -9p = -61q Divide each side by '-9'. p = 6.777777778q Simplifying p = 6.777777778q
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