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Simplifying 4(2p + 3) = 5p + 24 Reorder the terms: 4(3 + 2p) = 5p + 24 (3 * 4 + 2p * 4) = 5p + 24 (12 + 8p) = 5p + 24 Reorder the terms: 12 + 8p = 24 + 5p Solving 12 + 8p = 24 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 12 + 8p + -5p = 24 + 5p + -5p Combine like terms: 8p + -5p = 3p 12 + 3p = 24 + 5p + -5p Combine like terms: 5p + -5p = 0 12 + 3p = 24 + 0 12 + 3p = 24 Add '-12' to each side of the equation. 12 + -12 + 3p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3p = 24 + -12 3p = 24 + -12 Combine like terms: 24 + -12 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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