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Simplifying 8(6 + 2p) + 5 = 165 (6 * 8 + 2p * 8) + 5 = 165 (48 + 16p) + 5 = 165 Reorder the terms: 48 + 5 + 16p = 165 Combine like terms: 48 + 5 = 53 53 + 16p = 165 Solving 53 + 16p = 165 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 16p = 165 + -53 Combine like terms: 53 + -53 = 0 0 + 16p = 165 + -53 16p = 165 + -53 Combine like terms: 165 + -53 = 112 16p = 112 Divide each side by '16'. p = 7 Simplifying p = 7
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