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Simplifying 12(1 + -8p) = -6p + -4(-8p + -3) (1 * 12 + -8p * 12) = -6p + -4(-8p + -3) (12 + -96p) = -6p + -4(-8p + -3) Reorder the terms: 12 + -96p = -6p + -4(-3 + -8p) 12 + -96p = -6p + (-3 * -4 + -8p * -4) 12 + -96p = -6p + (12 + 32p) Reorder the terms: 12 + -96p = 12 + -6p + 32p Combine like terms: -6p + 32p = 26p 12 + -96p = 12 + 26p Add '-12' to each side of the equation. 12 + -12 + -96p = 12 + -12 + 26p Combine like terms: 12 + -12 = 0 0 + -96p = 12 + -12 + 26p -96p = 12 + -12 + 26p Combine like terms: 12 + -12 = 0 -96p = 0 + 26p -96p = 26p Solving -96p = 26p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26p' to each side of the equation. -96p + -26p = 26p + -26p Combine like terms: -96p + -26p = -122p -122p = 26p + -26p Combine like terms: 26p + -26p = 0 -122p = 0 Divide each side by '-122'. p = 0 Simplifying p = 0
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