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Simplifying -113 = 2n + 7(1 + 4n) -113 = 2n + (1 * 7 + 4n * 7) -113 = 2n + (7 + 28n) Reorder the terms: -113 = 7 + 2n + 28n Combine like terms: 2n + 28n = 30n -113 = 7 + 30n Solving -113 = 7 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -113 + -30n = 7 + 30n + -30n Combine like terms: 30n + -30n = 0 -113 + -30n = 7 + 0 -113 + -30n = 7 Add '113' to each side of the equation. -113 + 113 + -30n = 7 + 113 Combine like terms: -113 + 113 = 0 0 + -30n = 7 + 113 -30n = 7 + 113 Combine like terms: 7 + 113 = 120 -30n = 120 Divide each side by '-30'. n = -4 Simplifying n = -4
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