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Simplifying 12(2p + 3) = 9(11p + 4) Reorder the terms: 12(3 + 2p) = 9(11p + 4) (3 * 12 + 2p * 12) = 9(11p + 4) (36 + 24p) = 9(11p + 4) Reorder the terms: 36 + 24p = 9(4 + 11p) 36 + 24p = (4 * 9 + 11p * 9) 36 + 24p = (36 + 99p) Add '-36' to each side of the equation. 36 + -36 + 24p = 36 + -36 + 99p Combine like terms: 36 + -36 = 0 0 + 24p = 36 + -36 + 99p 24p = 36 + -36 + 99p Combine like terms: 36 + -36 = 0 24p = 0 + 99p 24p = 99p Solving 24p = 99p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-99p' to each side of the equation. 24p + -99p = 99p + -99p Combine like terms: 24p + -99p = -75p -75p = 99p + -99p Combine like terms: 99p + -99p = 0 -75p = 0 Divide each side by '-75'. p = 0 Simplifying p = 0
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