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Simplifying 5p + -2 = 12 + p + 2p Reorder the terms: -2 + 5p = 12 + p + 2p Combine like terms: p + 2p = 3p -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 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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