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Simplifying 5p + 9q + -4(2p + -2q) = 0 5p + 9q + (2p * -4 + -2q * -4) = 0 5p + 9q + (-8p + 8q) = 0 Reorder the terms: 5p + -8p + 9q + 8q = 0 Combine like terms: 5p + -8p = -3p -3p + 9q + 8q = 0 Combine like terms: 9q + 8q = 17q -3p + 17q = 0 Solving -3p + 17q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17q' to each side of the equation. -3p + 17q + -17q = 0 + -17q Combine like terms: 17q + -17q = 0 -3p + 0 = 0 + -17q -3p = 0 + -17q Remove the zero: -3p = -17q Divide each side by '-3'. p = 5.666666667q Simplifying p = 5.666666667q
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