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Simplifying -108 = -5(6n + -1) + 7 Reorder the terms: -108 = -5(-1 + 6n) + 7 -108 = (-1 * -5 + 6n * -5) + 7 -108 = (5 + -30n) + 7 Reorder the terms: -108 = 5 + 7 + -30n Combine like terms: 5 + 7 = 12 -108 = 12 + -30n Solving -108 = 12 + -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. -108 + 30n = 12 + -30n + 30n Combine like terms: -30n + 30n = 0 -108 + 30n = 12 + 0 -108 + 30n = 12 Add '108' to each side of the equation. -108 + 108 + 30n = 12 + 108 Combine like terms: -108 + 108 = 0 0 + 30n = 12 + 108 30n = 12 + 108 Combine like terms: 12 + 108 = 120 30n = 120 Divide each side by '30'. n = 4 Simplifying n = 4
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