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Simplifying 5(p + 2) + p = 46 Reorder the terms: 5(2 + p) + p = 46 (2 * 5 + p * 5) + p = 46 (10 + 5p) + p = 46 Combine like terms: 5p + p = 6p 10 + 6p = 46 Solving 10 + 6p = 46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6p = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6p = 46 + -10 6p = 46 + -10 Combine like terms: 46 + -10 = 36 6p = 36 Divide each side by '6'. p = 6 Simplifying p = 6
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