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Simplifying 2(6p + 13) + 8p = 46 Reorder the terms: 2(13 + 6p) + 8p = 46 (13 * 2 + 6p * 2) + 8p = 46 (26 + 12p) + 8p = 46 Combine like terms: 12p + 8p = 20p 26 + 20p = 46 Solving 26 + 20p = 46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 20p = 46 + -26 Combine like terms: 26 + -26 = 0 0 + 20p = 46 + -26 20p = 46 + -26 Combine like terms: 46 + -26 = 20 20p = 20 Divide each side by '20'. p = 1 Simplifying p = 1
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