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Simplifying -8(-3p + -8) = -12 + 5p Reorder the terms: -8(-8 + -3p) = -12 + 5p (-8 * -8 + -3p * -8) = -12 + 5p (64 + 24p) = -12 + 5p Solving 64 + 24p = -12 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 64 + 24p + -5p = -12 + 5p + -5p Combine like terms: 24p + -5p = 19p 64 + 19p = -12 + 5p + -5p Combine like terms: 5p + -5p = 0 64 + 19p = -12 + 0 64 + 19p = -12 Add '-64' to each side of the equation. 64 + -64 + 19p = -12 + -64 Combine like terms: 64 + -64 = 0 0 + 19p = -12 + -64 19p = -12 + -64 Combine like terms: -12 + -64 = -76 19p = -76 Divide each side by '19'. p = -4 Simplifying p = -4
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