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Simplifying 5p = 8(3p + 2) Reorder the terms: 5p = 8(2 + 3p) 5p = (2 * 8 + 3p * 8) 5p = (16 + 24p) Solving 5p = 16 + 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. 5p + -24p = 16 + 24p + -24p Combine like terms: 5p + -24p = -19p -19p = 16 + 24p + -24p Combine like terms: 24p + -24p = 0 -19p = 16 + 0 -19p = 16 Divide each side by '-19'. p = -0.8421052632 Simplifying p = -0.8421052632
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