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Simplifying 12(p + 2) = 9(p + 3) Reorder the terms: 12(2 + p) = 9(p + 3) (2 * 12 + p * 12) = 9(p + 3) (24 + 12p) = 9(p + 3) Reorder the terms: 24 + 12p = 9(3 + p) 24 + 12p = (3 * 9 + p * 9) 24 + 12p = (27 + 9p) Solving 24 + 12p = 27 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 24 + 12p + -9p = 27 + 9p + -9p Combine like terms: 12p + -9p = 3p 24 + 3p = 27 + 9p + -9p Combine like terms: 9p + -9p = 0 24 + 3p = 27 + 0 24 + 3p = 27 Add '-24' to each side of the equation. 24 + -24 + 3p = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 3p = 27 + -24 3p = 27 + -24 Combine like terms: 27 + -24 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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