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Simplifying 6p + 9q + -2(9p + -9q) = 0 6p + 9q + (9p * -2 + -9q * -2) = 0 6p + 9q + (-18p + 18q) = 0 Reorder the terms: 6p + -18p + 9q + 18q = 0 Combine like terms: 6p + -18p = -12p -12p + 9q + 18q = 0 Combine like terms: 9q + 18q = 27q -12p + 27q = 0 Solving -12p + 27q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27q' to each side of the equation. -12p + 27q + -27q = 0 + -27q Combine like terms: 27q + -27q = 0 -12p + 0 = 0 + -27q -12p = 0 + -27q Remove the zero: -12p = -27q Divide each side by '-12'. p = 2.25q Simplifying p = 2.25q
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