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Simplifying 3p + 7 = 2p + 9 Reorder the terms: 7 + 3p = 2p + 9 Reorder the terms: 7 + 3p = 9 + 2p Solving 7 + 3p = 9 + 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. 7 + 3p + -2p = 9 + 2p + -2p Combine like terms: 3p + -2p = 1p 7 + 1p = 9 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 1p = 9 + 0 7 + 1p = 9 Add '-7' to each side of the equation. 7 + -7 + 1p = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 9 + -7 1p = 9 + -7 Combine like terms: 9 + -7 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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