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