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Simplifying 5(p + 11) = 8p Reorder the terms: 5(11 + p) = 8p (11 * 5 + p * 5) = 8p (55 + 5p) = 8p Solving 55 + 5p = 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. 55 + 5p + -8p = 8p + -8p Combine like terms: 5p + -8p = -3p 55 + -3p = 8p + -8p Combine like terms: 8p + -8p = 0 55 + -3p = 0 Add '-55' to each side of the equation. 55 + -55 + -3p = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -3p = 0 + -55 -3p = 0 + -55 Combine like terms: 0 + -55 = -55 -3p = -55 Divide each side by '-3'. p = 18.33333333 Simplifying p = 18.33333333
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