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Simplifying 4(6p + 5) + 7 = 171 Reorder the terms: 4(5 + 6p) + 7 = 171 (5 * 4 + 6p * 4) + 7 = 171 (20 + 24p) + 7 = 171 Reorder the terms: 20 + 7 + 24p = 171 Combine like terms: 20 + 7 = 27 27 + 24p = 171 Solving 27 + 24p = 171 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 24p = 171 + -27 Combine like terms: 27 + -27 = 0 0 + 24p = 171 + -27 24p = 171 + -27 Combine like terms: 171 + -27 = 144 24p = 144 Divide each side by '24'. p = 6 Simplifying p = 6
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