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Simplifying -1(p + 1) = -1(-8 + -8p) Reorder the terms: -1(1 + p) = -1(-8 + -8p) (1 * -1 + p * -1) = -1(-8 + -8p) (-1 + -1p) = -1(-8 + -8p) -1 + -1p = (-8 * -1 + -8p * -1) -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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