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Simplifying 9p + 8q + -3(2p + 8q) = 0 9p + 8q + (2p * -3 + 8q * -3) = 0 9p + 8q + (-6p + -24q) = 0 Reorder the terms: 9p + -6p + 8q + -24q = 0 Combine like terms: 9p + -6p = 3p 3p + 8q + -24q = 0 Combine like terms: 8q + -24q = -16q 3p + -16q = 0 Solving 3p + -16q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16q' to each side of the equation. 3p + -16q + 16q = 0 + 16q Combine like terms: -16q + 16q = 0 3p + 0 = 0 + 16q 3p = 0 + 16q Remove the zero: 3p = 16q Divide each side by '3'. p = 5.333333333q Simplifying p = 5.333333333q
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