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Simplifying 8(4p + 1) = 33p + 8 Reorder the terms: 8(1 + 4p) = 33p + 8 (1 * 8 + 4p * 8) = 33p + 8 (8 + 32p) = 33p + 8 Reorder the terms: 8 + 32p = 8 + 33p Add '-8' to each side of the equation. 8 + -8 + 32p = 8 + -8 + 33p Combine like terms: 8 + -8 = 0 0 + 32p = 8 + -8 + 33p 32p = 8 + -8 + 33p Combine like terms: 8 + -8 = 0 32p = 0 + 33p 32p = 33p Solving 32p = 33p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-33p' to each side of the equation. 32p + -33p = 33p + -33p Combine like terms: 32p + -33p = -1p -1p = 33p + -33p Combine like terms: 33p + -33p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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