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Simplifying 108 = 6(-5n + -7) Reorder the terms: 108 = 6(-7 + -5n) 108 = (-7 * 6 + -5n * 6) 108 = (-42 + -30n) Solving 108 = -42 + -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 = -42 + -30n + 30n Combine like terms: -30n + 30n = 0 108 + 30n = -42 + 0 108 + 30n = -42 Add '-108' to each side of the equation. 108 + -108 + 30n = -42 + -108 Combine like terms: 108 + -108 = 0 0 + 30n = -42 + -108 30n = -42 + -108 Combine like terms: -42 + -108 = -150 30n = -150 Divide each side by '30'. n = -5 Simplifying n = -5
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