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Simplifying -82 = 2(1 + -7p) -82 = (1 * 2 + -7p * 2) -82 = (2 + -14p) Solving -82 = 2 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -82 + 14p = 2 + -14p + 14p Combine like terms: -14p + 14p = 0 -82 + 14p = 2 + 0 -82 + 14p = 2 Add '82' to each side of the equation. -82 + 82 + 14p = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 14p = 2 + 82 14p = 2 + 82 Combine like terms: 2 + 82 = 84 14p = 84 Divide each side by '14'. p = 6 Simplifying p = 6
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