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Simplifying 3(4p + 1) = 32p + 8 Reorder the terms: 3(1 + 4p) = 32p + 8 (1 * 3 + 4p * 3) = 32p + 8 (3 + 12p) = 32p + 8 Reorder the terms: 3 + 12p = 8 + 32p Solving 3 + 12p = 8 + 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. 3 + 12p + -32p = 8 + 32p + -32p Combine like terms: 12p + -32p = -20p 3 + -20p = 8 + 32p + -32p Combine like terms: 32p + -32p = 0 3 + -20p = 8 + 0 3 + -20p = 8 Add '-3' to each side of the equation. 3 + -3 + -20p = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -20p = 8 + -3 -20p = 8 + -3 Combine like terms: 8 + -3 = 5 -20p = 5 Divide each side by '-20'. p = -0.25 Simplifying p = -0.25
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