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Simplifying 115 = 5 + -5(6n + 8) Reorder the terms: 115 = 5 + -5(8 + 6n) 115 = 5 + (8 * -5 + 6n * -5) 115 = 5 + (-40 + -30n) Combine like terms: 5 + -40 = -35 115 = -35 + -30n Solving 115 = -35 + -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 = -35 + -30n + 30n Combine like terms: -30n + 30n = 0 115 + 30n = -35 + 0 115 + 30n = -35 Add '-115' to each side of the equation. 115 + -115 + 30n = -35 + -115 Combine like terms: 115 + -115 = 0 0 + 30n = -35 + -115 30n = -35 + -115 Combine like terms: -35 + -115 = -150 30n = -150 Divide each side by '30'. n = -5 Simplifying n = -5
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