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Simplifying 3p + 8 = 32 + 1p Reorder the terms: 8 + 3p = 32 + 1p Solving 8 + 3p = 32 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 8 + 3p + -1p = 32 + 1p + -1p Combine like terms: 3p + -1p = 2p 8 + 2p = 32 + 1p + -1p Combine like terms: 1p + -1p = 0 8 + 2p = 32 + 0 8 + 2p = 32 Add '-8' to each side of the equation. 8 + -8 + 2p = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 32 + -8 2p = 32 + -8 Combine like terms: 32 + -8 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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