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Simplifying 8(4p + 8) + 5p = -32 + 5p Reorder the terms: 8(8 + 4p) + 5p = -32 + 5p (8 * 8 + 4p * 8) + 5p = -32 + 5p (64 + 32p) + 5p = -32 + 5p Combine like terms: 32p + 5p = 37p 64 + 37p = -32 + 5p Solving 64 + 37p = -32 + 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 + 37p + -5p = -32 + 5p + -5p Combine like terms: 37p + -5p = 32p 64 + 32p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 64 + 32p = -32 + 0 64 + 32p = -32 Add '-64' to each side of the equation. 64 + -64 + 32p = -32 + -64 Combine like terms: 64 + -64 = 0 0 + 32p = -32 + -64 32p = -32 + -64 Combine like terms: -32 + -64 = -96 32p = -96 Divide each side by '32'. p = -3 Simplifying p = -3
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