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Simplifying 5p + 38 = 2p + 41 Reorder the terms: 38 + 5p = 2p + 41 Reorder the terms: 38 + 5p = 41 + 2p Solving 38 + 5p = 41 + 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. 38 + 5p + -2p = 41 + 2p + -2p Combine like terms: 5p + -2p = 3p 38 + 3p = 41 + 2p + -2p Combine like terms: 2p + -2p = 0 38 + 3p = 41 + 0 38 + 3p = 41 Add '-38' to each side of the equation. 38 + -38 + 3p = 41 + -38 Combine like terms: 38 + -38 = 0 0 + 3p = 41 + -38 3p = 41 + -38 Combine like terms: 41 + -38 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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