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Simplifying (8p + 24) = (11p + 3) Reorder the terms: (24 + 8p) = (11p + 3) Remove parenthesis around (24 + 8p) 24 + 8p = (11p + 3) Reorder the terms: 24 + 8p = (3 + 11p) Remove parenthesis around (3 + 11p) 24 + 8p = 3 + 11p Solving 24 + 8p = 3 + 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. 24 + 8p + -11p = 3 + 11p + -11p Combine like terms: 8p + -11p = -3p 24 + -3p = 3 + 11p + -11p Combine like terms: 11p + -11p = 0 24 + -3p = 3 + 0 24 + -3p = 3 Add '-24' to each side of the equation. 24 + -24 + -3p = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -3p = 3 + -24 -3p = 3 + -24 Combine like terms: 3 + -24 = -21 -3p = -21 Divide each side by '-3'. p = 7 Simplifying p = 7
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