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Simplifying 12p + 39 = 11(p + 14) Reorder the terms: 39 + 12p = 11(p + 14) Reorder the terms: 39 + 12p = 11(14 + p) 39 + 12p = (14 * 11 + p * 11) 39 + 12p = (154 + 11p) Solving 39 + 12p = 154 + 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. 39 + 12p + -11p = 154 + 11p + -11p Combine like terms: 12p + -11p = 1p 39 + 1p = 154 + 11p + -11p Combine like terms: 11p + -11p = 0 39 + 1p = 154 + 0 39 + 1p = 154 Add '-39' to each side of the equation. 39 + -39 + 1p = 154 + -39 Combine like terms: 39 + -39 = 0 0 + 1p = 154 + -39 1p = 154 + -39 Combine like terms: 154 + -39 = 115 1p = 115 Divide each side by '1'. p = 115 Simplifying p = 115
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