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Simplifying -8(-3p + -1) = -8(p + 3) Reorder the terms: -8(-1 + -3p) = -8(p + 3) (-1 * -8 + -3p * -8) = -8(p + 3) (8 + 24p) = -8(p + 3) Reorder the terms: 8 + 24p = -8(3 + p) 8 + 24p = (3 * -8 + p * -8) 8 + 24p = (-24 + -8p) Solving 8 + 24p = -24 + -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. 8 + 24p + 8p = -24 + -8p + 8p Combine like terms: 24p + 8p = 32p 8 + 32p = -24 + -8p + 8p Combine like terms: -8p + 8p = 0 8 + 32p = -24 + 0 8 + 32p = -24 Add '-8' to each side of the equation. 8 + -8 + 32p = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 32p = -24 + -8 32p = -24 + -8 Combine like terms: -24 + -8 = -32 32p = -32 Divide each side by '32'. p = -1 Simplifying p = -1
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