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Simplifying 3p + -6 + 7 = 32 + -8p + 20 Reorder the terms: -6 + 7 + 3p = 32 + -8p + 20 Combine like terms: -6 + 7 = 1 1 + 3p = 32 + -8p + 20 Reorder the terms: 1 + 3p = 32 + 20 + -8p Combine like terms: 32 + 20 = 52 1 + 3p = 52 + -8p Solving 1 + 3p = 52 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 1 + 3p + 8p = 52 + -8p + 8p Combine like terms: 3p + 8p = 11p 1 + 11p = 52 + -8p + 8p Combine like terms: -8p + 8p = 0 1 + 11p = 52 + 0 1 + 11p = 52 Add '-1' to each side of the equation. 1 + -1 + 11p = 52 + -1 Combine like terms: 1 + -1 = 0 0 + 11p = 52 + -1 11p = 52 + -1 Combine like terms: 52 + -1 = 51 11p = 51 Divide each side by '11'. p = 4.636363636 Simplifying p = 4.636363636
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