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Simplifying 8(p + 12) = 5p Reorder the terms: 8(12 + p) = 5p (12 * 8 + p * 8) = 5p (96 + 8p) = 5p Solving 96 + 8p = 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. 96 + 8p + -5p = 5p + -5p Combine like terms: 8p + -5p = 3p 96 + 3p = 5p + -5p Combine like terms: 5p + -5p = 0 96 + 3p = 0 Add '-96' to each side of the equation. 96 + -96 + 3p = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 3p = 0 + -96 3p = 0 + -96 Combine like terms: 0 + -96 = -96 3p = -96 Divide each side by '3'. p = -32 Simplifying p = -32
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