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Simplifying 3(p + 1) * 2 = 81 Reorder the terms: 3(1 + p) * 2 = 81 Reorder the terms for easier multiplication: 3 * 2(1 + p) = 81 Multiply 3 * 2 6(1 + p) = 81 (1 * 6 + p * 6) = 81 (6 + 6p) = 81 Solving 6 + 6p = 81 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6p = 81 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = 81 + -6 6p = 81 + -6 Combine like terms: 81 + -6 = 75 6p = 75 Divide each side by '6'. p = 12.5 Simplifying p = 12.5
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