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Simplifying (p + 8q) * 2 + -6(p + 8q) + 9 = 0 Reorder the terms for easier multiplication: 2(p + 8q) + -6(p + 8q) + 9 = 0 (p * 2 + 8q * 2) + -6(p + 8q) + 9 = 0 (2p + 16q) + -6(p + 8q) + 9 = 0 2p + 16q + (p * -6 + 8q * -6) + 9 = 0 2p + 16q + (-6p + -48q) + 9 = 0 Reorder the terms: 9 + 2p + -6p + 16q + -48q = 0 Combine like terms: 2p + -6p = -4p 9 + -4p + 16q + -48q = 0 Combine like terms: 16q + -48q = -32q 9 + -4p + -32q = 0 Solving 9 + -4p + -32q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4p + -9 + -32q = 0 + -9 Reorder the terms: 9 + -9 + -4p + -32q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4p + -32q = 0 + -9 -4p + -32q = 0 + -9 Combine like terms: 0 + -9 = -9 -4p + -32q = -9 Add '32q' to each side of the equation. -4p + -32q + 32q = -9 + 32q Combine like terms: -32q + 32q = 0 -4p + 0 = -9 + 32q -4p = -9 + 32q Divide each side by '-4'. p = 2.25 + -8q Simplifying p = 2.25 + -8q
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