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