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Simplifying 8(1 + -1p) = -24 + -4p (1 * 8 + -1p * 8) = -24 + -4p (8 + -8p) = -24 + -4p Solving 8 + -8p = -24 + -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. 8 + -8p + 4p = -24 + -4p + 4p Combine like terms: -8p + 4p = -4p 8 + -4p = -24 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + -4p = -24 + 0 8 + -4p = -24 Add '-8' to each side of the equation. 8 + -8 + -4p = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = -24 + -8 -4p = -24 + -8 Combine like terms: -24 + -8 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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