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Simplifying -10 + 3(8 + 8n) = -6(n + -4) -10 + (8 * 3 + 8n * 3) = -6(n + -4) -10 + (24 + 24n) = -6(n + -4) Combine like terms: -10 + 24 = 14 14 + 24n = -6(n + -4) Reorder the terms: 14 + 24n = -6(-4 + n) 14 + 24n = (-4 * -6 + n * -6) 14 + 24n = (24 + -6n) Solving 14 + 24n = 24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 14 + 24n + 6n = 24 + -6n + 6n Combine like terms: 24n + 6n = 30n 14 + 30n = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 14 + 30n = 24 + 0 14 + 30n = 24 Add '-14' to each side of the equation. 14 + -14 + 30n = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 30n = 24 + -14 30n = 24 + -14 Combine like terms: 24 + -14 = 10 30n = 10 Divide each side by '30'. n = 0.3333333333 Simplifying n = 0.3333333333
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