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