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Simplifying 3(5p + 1) + -12p = 24 Reorder the terms: 3(1 + 5p) + -12p = 24 (1 * 3 + 5p * 3) + -12p = 24 (3 + 15p) + -12p = 24 Combine like terms: 15p + -12p = 3p 3 + 3p = 24 Solving 3 + 3p = 24 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 + 3p = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3p = 24 + -3 3p = 24 + -3 Combine like terms: 24 + -3 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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