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Simplifying 84 = 6(4 + -5n) 84 = (4 * 6 + -5n * 6) 84 = (24 + -30n) Solving 84 = 24 + -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. 84 + 30n = 24 + -30n + 30n Combine like terms: -30n + 30n = 0 84 + 30n = 24 + 0 84 + 30n = 24 Add '-84' to each side of the equation. 84 + -84 + 30n = 24 + -84 Combine like terms: 84 + -84 = 0 0 + 30n = 24 + -84 30n = 24 + -84 Combine like terms: 24 + -84 = -60 30n = -60 Divide each side by '30'. n = -2 Simplifying n = -2
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