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Simplifying 8 + 5p + -1 = 9p + 23 + -2p Reorder the terms: 8 + -1 + 5p = 9p + 23 + -2p Combine like terms: 8 + -1 = 7 7 + 5p = 9p + 23 + -2p Reorder the terms: 7 + 5p = 23 + 9p + -2p Combine like terms: 9p + -2p = 7p 7 + 5p = 23 + 7p Solving 7 + 5p = 23 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 7 + 5p + -7p = 23 + 7p + -7p Combine like terms: 5p + -7p = -2p 7 + -2p = 23 + 7p + -7p Combine like terms: 7p + -7p = 0 7 + -2p = 23 + 0 7 + -2p = 23 Add '-7' to each side of the equation. 7 + -7 + -2p = 23 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 23 + -7 -2p = 23 + -7 Combine like terms: 23 + -7 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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