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Simplifying 3p + 5 = 12 + 2p Reorder the terms: 5 + 3p = 12 + 2p Solving 5 + 3p = 12 + 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. 5 + 3p + -2p = 12 + 2p + -2p Combine like terms: 3p + -2p = 1p 5 + 1p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 1p = 12 + 0 5 + 1p = 12 Add '-5' to each side of the equation. 5 + -5 + 1p = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1p = 12 + -5 1p = 12 + -5 Combine like terms: 12 + -5 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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