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Simplifying -7p + -1(4p + -5) = 82 Reorder the terms: -7p + -1(-5 + 4p) = 82 -7p + (-5 * -1 + 4p * -1) = 82 -7p + (5 + -4p) = 82 Reorder the terms: 5 + -7p + -4p = 82 Combine like terms: -7p + -4p = -11p 5 + -11p = 82 Solving 5 + -11p = 82 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -11p = 82 + -5 Combine like terms: 5 + -5 = 0 0 + -11p = 82 + -5 -11p = 82 + -5 Combine like terms: 82 + -5 = 77 -11p = 77 Divide each side by '-11'. p = -7 Simplifying p = -7
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