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Simplifying 5p + 2 = 3p + 12 Reorder the terms: 2 + 5p = 3p + 12 Reorder the terms: 2 + 5p = 12 + 3p Solving 2 + 5p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p 2 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 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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