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Simplifying 9(1 + 9p) + -6 = 3 + 8p (1 * 9 + 9p * 9) + -6 = 3 + 8p (9 + 81p) + -6 = 3 + 8p Reorder the terms: 9 + -6 + 81p = 3 + 8p Combine like terms: 9 + -6 = 3 3 + 81p = 3 + 8p Add '-3' to each side of the equation. 3 + -3 + 81p = 3 + -3 + 8p Combine like terms: 3 + -3 = 0 0 + 81p = 3 + -3 + 8p 81p = 3 + -3 + 8p Combine like terms: 3 + -3 = 0 81p = 0 + 8p 81p = 8p Solving 81p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 81p + -8p = 8p + -8p Combine like terms: 81p + -8p = 73p 73p = 8p + -8p Combine like terms: 8p + -8p = 0 73p = 0 Divide each side by '73'. p = 0 Simplifying p = 0
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