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Simplifying 12(2p + 3) = (11p + 4) Reorder the terms: 12(3 + 2p) = (11p + 4) (3 * 12 + 2p * 12) = (11p + 4) (36 + 24p) = (11p + 4) Reorder the terms: 36 + 24p = (4 + 11p) Remove parenthesis around (4 + 11p) 36 + 24p = 4 + 11p Solving 36 + 24p = 4 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 36 + 24p + -11p = 4 + 11p + -11p Combine like terms: 24p + -11p = 13p 36 + 13p = 4 + 11p + -11p Combine like terms: 11p + -11p = 0 36 + 13p = 4 + 0 36 + 13p = 4 Add '-36' to each side of the equation. 36 + -36 + 13p = 4 + -36 Combine like terms: 36 + -36 = 0 0 + 13p = 4 + -36 13p = 4 + -36 Combine like terms: 4 + -36 = -32 13p = -32 Divide each side by '13'. p = -2.461538462 Simplifying p = -2.461538462
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