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Simplifying 5p + 2(11 + -4p) = 82 + p 5p + (11 * 2 + -4p * 2) = 82 + p 5p + (22 + -8p) = 82 + p Reorder the terms: 22 + 5p + -8p = 82 + p Combine like terms: 5p + -8p = -3p 22 + -3p = 82 + p Solving 22 + -3p = 82 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 22 + -3p + -1p = 82 + p + -1p Combine like terms: -3p + -1p = -4p 22 + -4p = 82 + p + -1p Combine like terms: p + -1p = 0 22 + -4p = 82 + 0 22 + -4p = 82 Add '-22' to each side of the equation. 22 + -22 + -4p = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -4p = 82 + -22 -4p = 82 + -22 Combine like terms: 82 + -22 = 60 -4p = 60 Divide each side by '-4'. p = -15 Simplifying p = -15
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