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Simplifying -115 = 1 + 5(1 + -6n) -115 = 1 + (1 * 5 + -6n * 5) -115 = 1 + (5 + -30n) Combine like terms: 1 + 5 = 6 -115 = 6 + -30n Solving -115 = 6 + -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. -115 + 30n = 6 + -30n + 30n Combine like terms: -30n + 30n = 0 -115 + 30n = 6 + 0 -115 + 30n = 6 Add '115' to each side of the equation. -115 + 115 + 30n = 6 + 115 Combine like terms: -115 + 115 = 0 0 + 30n = 6 + 115 30n = 6 + 115 Combine like terms: 6 + 115 = 121 30n = 121 Divide each side by '30'. n = 4.033333333 Simplifying n = 4.033333333
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