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Simplifying 38 = 2(p + 5) + p Reorder the terms: 38 = 2(5 + p) + p 38 = (5 * 2 + p * 2) + p 38 = (10 + 2p) + p Combine like terms: 2p + p = 3p 38 = 10 + 3p Solving 38 = 10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 38 + -3p = 10 + 3p + -3p Combine like terms: 3p + -3p = 0 38 + -3p = 10 + 0 38 + -3p = 10 Add '-38' to each side of the equation. 38 + -38 + -3p = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -3p = 10 + -38 -3p = 10 + -38 Combine like terms: 10 + -38 = -28 -3p = -28 Divide each side by '-3'. p = 9.333333333 Simplifying p = 9.333333333
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