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Simplifying 3p + 2 = 1p + 12 Reorder the terms: 2 + 3p = 1p + 12 Reorder the terms: 2 + 3p = 12 + 1p Solving 2 + 3p = 12 + 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. 2 + 3p + -1p = 12 + 1p + -1p Combine like terms: 3p + -1p = 2p 2 + 2p = 12 + 1p + -1p Combine like terms: 1p + -1p = 0 2 + 2p = 12 + 0 2 + 2p = 12 Add '-2' to each side of the equation. 2 + -2 + 2p = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2p = 12 + -2 2p = 12 + -2 Combine like terms: 12 + -2 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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