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Simplifying 3(2p + 1) = 3p + 24 Reorder the terms: 3(1 + 2p) = 3p + 24 (1 * 3 + 2p * 3) = 3p + 24 (3 + 6p) = 3p + 24 Reorder the terms: 3 + 6p = 24 + 3p Solving 3 + 6p = 24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + 6p + -3p = 24 + 3p + -3p Combine like terms: 6p + -3p = 3p 3 + 3p = 24 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + 3p = 24 + 0 3 + 3p = 24 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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