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Simplifying (p + q) + 8(p + q) + 16 = 0 Remove parenthesis around (p + q) p + q + 8(p + q) + 16 = 0 p + q + (p * 8 + q * 8) + 16 = 0 p + q + (8p + 8q) + 16 = 0 Reorder the terms: 16 + p + 8p + q + 8q = 0 Combine like terms: p + 8p = 9p 16 + 9p + q + 8q = 0 Combine like terms: q + 8q = 9q 16 + 9p + 9q = 0 Solving 16 + 9p + 9q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 9p + -16 + 9q = 0 + -16 Reorder the terms: 16 + -16 + 9p + 9q = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9p + 9q = 0 + -16 9p + 9q = 0 + -16 Combine like terms: 0 + -16 = -16 9p + 9q = -16 Add '-9q' to each side of the equation. 9p + 9q + -9q = -16 + -9q Combine like terms: 9q + -9q = 0 9p + 0 = -16 + -9q 9p = -16 + -9q Divide each side by '9'. p = -1.777777778 + -1q Simplifying p = -1.777777778 + -1q
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