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Simplifying 2p + 3 = 12 + -1p Reorder the terms: 3 + 2p = 12 + -1p Solving 3 + 2p = 12 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 3 + 2p + p = 12 + -1p + p Combine like terms: 2p + p = 3p 3 + 3p = 12 + -1p + p Combine like terms: -1p + p = 0 3 + 3p = 12 + 0 3 + 3p = 12 Add '-3' to each side of the equation. 3 + -3 + 3p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3p = 12 + -3 3p = 12 + -3 Combine like terms: 12 + -3 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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