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Simplifying 50(20 + p) = 2(30 + p) (20 * 50 + p * 50) = 2(30 + p) (1000 + 50p) = 2(30 + p) 1000 + 50p = (30 * 2 + p * 2) 1000 + 50p = (60 + 2p) Solving 1000 + 50p = 60 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 1000 + 50p + -2p = 60 + 2p + -2p Combine like terms: 50p + -2p = 48p 1000 + 48p = 60 + 2p + -2p Combine like terms: 2p + -2p = 0 1000 + 48p = 60 + 0 1000 + 48p = 60 Add '-1000' to each side of the equation. 1000 + -1000 + 48p = 60 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 48p = 60 + -1000 48p = 60 + -1000 Combine like terms: 60 + -1000 = -940 48p = -940 Divide each side by '48'. p = -19.58333333 Simplifying p = -19.58333333
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