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Simplifying 19 + 8p = 3(1 + 8p) 19 + 8p = (1 * 3 + 8p * 3) 19 + 8p = (3 + 24p) Solving 19 + 8p = 3 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 19 + 8p + -24p = 3 + 24p + -24p Combine like terms: 8p + -24p = -16p 19 + -16p = 3 + 24p + -24p Combine like terms: 24p + -24p = 0 19 + -16p = 3 + 0 19 + -16p = 3 Add '-19' to each side of the equation. 19 + -19 + -16p = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -16p = 3 + -19 -16p = 3 + -19 Combine like terms: 3 + -19 = -16 -16p = -16 Divide each side by '-16'. p = 1 Simplifying p = 1
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