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