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Simplifying 3(4p + 1) = 45 Reorder the terms: 3(1 + 4p) = 45 (1 * 3 + 4p * 3) = 45 (3 + 12p) = 45 Solving 3 + 12p = 45 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12p = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 12p = 45 + -3 12p = 45 + -3 Combine like terms: 45 + -3 = 42 12p = 42 Divide each side by '12'. p = 3.5 Simplifying p = 3.5
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