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Simplifying 46 + -19n = -6(18 + 5n) 46 + -19n = (18 * -6 + 5n * -6) 46 + -19n = (-108 + -30n) Solving 46 + -19n = -108 + -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. 46 + -19n + 30n = -108 + -30n + 30n Combine like terms: -19n + 30n = 11n 46 + 11n = -108 + -30n + 30n Combine like terms: -30n + 30n = 0 46 + 11n = -108 + 0 46 + 11n = -108 Add '-46' to each side of the equation. 46 + -46 + 11n = -108 + -46 Combine like terms: 46 + -46 = 0 0 + 11n = -108 + -46 11n = -108 + -46 Combine like terms: -108 + -46 = -154 11n = -154 Divide each side by '11'. n = -14 Simplifying n = -14
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