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Simplifying 5(2 + p) = 38 + -2p (2 * 5 + p * 5) = 38 + -2p (10 + 5p) = 38 + -2p Solving 10 + 5p = 38 + -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. 10 + 5p + 2p = 38 + -2p + 2p Combine like terms: 5p + 2p = 7p 10 + 7p = 38 + -2p + 2p Combine like terms: -2p + 2p = 0 10 + 7p = 38 + 0 10 + 7p = 38 Add '-10' to each side of the equation. 10 + -10 + 7p = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 7p = 38 + -10 7p = 38 + -10 Combine like terms: 38 + -10 = 28 7p = 28 Divide each side by '7'. p = 4 Simplifying p = 4
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