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Simplifying 8(4p + 1) = 32 + 8 Reorder the terms: 8(1 + 4p) = 32 + 8 (1 * 8 + 4p * 8) = 32 + 8 (8 + 32p) = 32 + 8 Combine like terms: 32 + 8 = 40 8 + 32p = 40 Solving 8 + 32p = 40 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 32p = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 32p = 40 + -8 32p = 40 + -8 Combine like terms: 40 + -8 = 32 32p = 32 Divide each side by '32'. p = 1 Simplifying p = 1
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