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Simplifying 30 + 5(p + 10) = 11p Reorder the terms: 30 + 5(10 + p) = 11p 30 + (10 * 5 + p * 5) = 11p 30 + (50 + 5p) = 11p Combine like terms: 30 + 50 = 80 80 + 5p = 11p Solving 80 + 5p = 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. 80 + 5p + -11p = 11p + -11p Combine like terms: 5p + -11p = -6p 80 + -6p = 11p + -11p Combine like terms: 11p + -11p = 0 80 + -6p = 0 Add '-80' to each side of the equation. 80 + -80 + -6p = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -6p = 0 + -80 -6p = 0 + -80 Combine like terms: 0 + -80 = -80 -6p = -80 Divide each side by '-6'. p = 13.33333333 Simplifying p = 13.33333333
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