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Simplifying 4 + 3(1 + 8p) = 39 + 8p 4 + (1 * 3 + 8p * 3) = 39 + 8p 4 + (3 + 24p) = 39 + 8p Combine like terms: 4 + 3 = 7 7 + 24p = 39 + 8p Solving 7 + 24p = 39 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 7 + 24p + -8p = 39 + 8p + -8p Combine like terms: 24p + -8p = 16p 7 + 16p = 39 + 8p + -8p Combine like terms: 8p + -8p = 0 7 + 16p = 39 + 0 7 + 16p = 39 Add '-7' to each side of the equation. 7 + -7 + 16p = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 16p = 39 + -7 16p = 39 + -7 Combine like terms: 39 + -7 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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