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