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Simplifying 7p + 6q + -9(3p + -5q) = 0 7p + 6q + (3p * -9 + -5q * -9) = 0 7p + 6q + (-27p + 45q) = 0 Reorder the terms: 7p + -27p + 6q + 45q = 0 Combine like terms: 7p + -27p = -20p -20p + 6q + 45q = 0 Combine like terms: 6q + 45q = 51q -20p + 51q = 0 Solving -20p + 51q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-51q' to each side of the equation. -20p + 51q + -51q = 0 + -51q Combine like terms: 51q + -51q = 0 -20p + 0 = 0 + -51q -20p = 0 + -51q Remove the zero: -20p = -51q Divide each side by '-20'. p = 2.55q Simplifying p = 2.55q
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