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Simplifying 4 + 9p + -2 = 8p + 23 + -6p Reorder the terms: 4 + -2 + 9p = 8p + 23 + -6p Combine like terms: 4 + -2 = 2 2 + 9p = 8p + 23 + -6p Reorder the terms: 2 + 9p = 23 + 8p + -6p Combine like terms: 8p + -6p = 2p 2 + 9p = 23 + 2p Solving 2 + 9p = 23 + 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 + 9p + -2p = 23 + 2p + -2p Combine like terms: 9p + -2p = 7p 2 + 7p = 23 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + 7p = 23 + 0 2 + 7p = 23 Add '-2' to each side of the equation. 2 + -2 + 7p = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 23 + -2 7p = 23 + -2 Combine like terms: 23 + -2 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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