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Simplifying 8(p + 1) = 32p + 8 Reorder the terms: 8(1 + p) = 32p + 8 (1 * 8 + p * 8) = 32p + 8 (8 + 8p) = 32p + 8 Reorder the terms: 8 + 8p = 8 + 32p Add '-8' to each side of the equation. 8 + -8 + 8p = 8 + -8 + 32p Combine like terms: 8 + -8 = 0 0 + 8p = 8 + -8 + 32p 8p = 8 + -8 + 32p Combine like terms: 8 + -8 = 0 8p = 0 + 32p 8p = 32p Solving 8p = 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 8p + -32p = 32p + -32p Combine like terms: 8p + -32p = -24p -24p = 32p + -32p Combine like terms: 32p + -32p = 0 -24p = 0 Divide each side by '-24'. p = 0 Simplifying p = 0
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