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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 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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