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Simplifying 3(4 + -8p) = 12 + -12p (4 * 3 + -8p * 3) = 12 + -12p (12 + -24p) = 12 + -12p Add '-12' to each side of the equation. 12 + -12 + -24p = 12 + -12 + -12p Combine like terms: 12 + -12 = 0 0 + -24p = 12 + -12 + -12p -24p = 12 + -12 + -12p Combine like terms: 12 + -12 = 0 -24p = 0 + -12p -24p = -12p Solving -24p = -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -24p + 12p = -12p + 12p Combine like terms: -24p + 12p = -12p -12p = -12p + 12p Combine like terms: -12p + 12p = 0 -12p = 0 Divide each side by '-12'. p = 0 Simplifying p = 0
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