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Simplifying -4(-2 + -7n) = 2(7n + 27) (-2 * -4 + -7n * -4) = 2(7n + 27) (8 + 28n) = 2(7n + 27) Reorder the terms: 8 + 28n = 2(27 + 7n) 8 + 28n = (27 * 2 + 7n * 2) 8 + 28n = (54 + 14n) Solving 8 + 28n = 54 + 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. 8 + 28n + -14n = 54 + 14n + -14n Combine like terms: 28n + -14n = 14n 8 + 14n = 54 + 14n + -14n Combine like terms: 14n + -14n = 0 8 + 14n = 54 + 0 8 + 14n = 54 Add '-8' to each side of the equation. 8 + -8 + 14n = 54 + -8 Combine like terms: 8 + -8 = 0 0 + 14n = 54 + -8 14n = 54 + -8 Combine like terms: 54 + -8 = 46 14n = 46 Divide each side by '14'. n = 3.285714286 Simplifying n = 3.285714286
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