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Simplifying 5p + 9 = 2p + 12 Reorder the terms: 9 + 5p = 2p + 12 Reorder the terms: 9 + 5p = 12 + 2p Solving 9 + 5p = 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. 9 + 5p + -2p = 12 + 2p + -2p Combine like terms: 5p + -2p = 3p 9 + 3p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 9 + 3p = 12 + 0 9 + 3p = 12 Add '-9' to each side of the equation. 9 + -9 + 3p = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = 12 + -9 3p = 12 + -9 Combine like terms: 12 + -9 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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