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Simplifying 12(1 + -1p) = -12(8 + 2p) (1 * 12 + -1p * 12) = -12(8 + 2p) (12 + -12p) = -12(8 + 2p) 12 + -12p = (8 * -12 + 2p * -12) 12 + -12p = (-96 + -24p) Solving 12 + -12p = -96 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 12 + -12p + 24p = -96 + -24p + 24p Combine like terms: -12p + 24p = 12p 12 + 12p = -96 + -24p + 24p Combine like terms: -24p + 24p = 0 12 + 12p = -96 + 0 12 + 12p = -96 Add '-12' to each side of the equation. 12 + -12 + 12p = -96 + -12 Combine like terms: 12 + -12 = 0 0 + 12p = -96 + -12 12p = -96 + -12 Combine like terms: -96 + -12 = -108 12p = -108 Divide each side by '12'. p = -9 Simplifying p = -9
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