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Simplifying 9p + 3q + -6(7p + -4q) = 0 9p + 3q + (7p * -6 + -4q * -6) = 0 9p + 3q + (-42p + 24q) = 0 Reorder the terms: 9p + -42p + 3q + 24q = 0 Combine like terms: 9p + -42p = -33p -33p + 3q + 24q = 0 Combine like terms: 3q + 24q = 27q -33p + 27q = 0 Solving -33p + 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. -33p + 27q + -27q = 0 + -27q Combine like terms: 27q + -27q = 0 -33p + 0 = 0 + -27q -33p = 0 + -27q Remove the zero: -33p = -27q Divide each side by '-33'. p = 0.8181818182q Simplifying p = 0.8181818182q
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