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Simplifying 5 + 2p + -1 = 9p + 8 + -5p Reorder the terms: 5 + -1 + 2p = 9p + 8 + -5p Combine like terms: 5 + -1 = 4 4 + 2p = 9p + 8 + -5p Reorder the terms: 4 + 2p = 8 + 9p + -5p Combine like terms: 9p + -5p = 4p 4 + 2p = 8 + 4p Solving 4 + 2p = 8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 4 + 2p + -4p = 8 + 4p + -4p Combine like terms: 2p + -4p = -2p 4 + -2p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + -2p = 8 + 0 4 + -2p = 8 Add '-4' to each side of the equation. 4 + -4 + -2p = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -2p = 8 + -4 -2p = 8 + -4 Combine like terms: 8 + -4 = 4 -2p = 4 Divide each side by '-2'. p = -2 Simplifying p = -2
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