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Simplifying 3p + -2 + 5p = 2p + 12 Reorder the terms: -2 + 3p + 5p = 2p + 12 Combine like terms: 3p + 5p = 8p -2 + 8p = 2p + 12 Reorder the terms: -2 + 8p = 12 + 2p Solving -2 + 8p = 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. -2 + 8p + -2p = 12 + 2p + -2p Combine like terms: 8p + -2p = 6p -2 + 6p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + 6p = 12 + 0 -2 + 6p = 12 Add '2' to each side of the equation. -2 + 2 + 6p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 6p = 12 + 2 6p = 12 + 2 Combine like terms: 12 + 2 = 14 6p = 14 Divide each side by '6'. p = 2.333333333 Simplifying p = 2.333333333
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