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