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Simplifying 3 + 2p + -1 = 8p + 9 + -5p Reorder the terms: 3 + -1 + 2p = 8p + 9 + -5p Combine like terms: 3 + -1 = 2 2 + 2p = 8p + 9 + -5p Reorder the terms: 2 + 2p = 9 + 8p + -5p Combine like terms: 8p + -5p = 3p 2 + 2p = 9 + 3p Solving 2 + 2p = 9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 2p + -3p = 9 + 3p + -3p Combine like terms: 2p + -3p = -1p 2 + -1p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + -1p = 9 + 0 2 + -1p = 9 Add '-2' to each side of the equation. 2 + -2 + -1p = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 9 + -2 -1p = 9 + -2 Combine like terms: 9 + -2 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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