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Simplifying 5(p + 3) + 9 = 3(p + 2) + 6 Reorder the terms: 5(3 + p) + 9 = 3(p + 2) + 6 (3 * 5 + p * 5) + 9 = 3(p + 2) + 6 (15 + 5p) + 9 = 3(p + 2) + 6 Reorder the terms: 15 + 9 + 5p = 3(p + 2) + 6 Combine like terms: 15 + 9 = 24 24 + 5p = 3(p + 2) + 6 Reorder the terms: 24 + 5p = 3(2 + p) + 6 24 + 5p = (2 * 3 + p * 3) + 6 24 + 5p = (6 + 3p) + 6 Reorder the terms: 24 + 5p = 6 + 6 + 3p Combine like terms: 6 + 6 = 12 24 + 5p = 12 + 3p Solving 24 + 5p = 12 + 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. 24 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p 24 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 24 + 2p = 12 + 0 24 + 2p = 12 Add '-24' to each side of the equation. 24 + -24 + 2p = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2p = 12 + -24 2p = 12 + -24 Combine like terms: 12 + -24 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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