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Simplifying -1[8n + -2] = 3 + 10[1 + -3n] Reorder the terms: -1[-2 + 8n] = 3 + 10[1 + -3n] [-2 * -1 + 8n * -1] = 3 + 10[1 + -3n] [2 + -8n] = 3 + 10[1 + -3n] 2 + -8n = 3 + [1 * 10 + -3n * 10] 2 + -8n = 3 + [10 + -30n] Combine like terms: 3 + 10 = 13 2 + -8n = 13 + -30n Solving 2 + -8n = 13 + -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. 2 + -8n + 30n = 13 + -30n + 30n Combine like terms: -8n + 30n = 22n 2 + 22n = 13 + -30n + 30n Combine like terms: -30n + 30n = 0 2 + 22n = 13 + 0 2 + 22n = 13 Add '-2' to each side of the equation. 2 + -2 + 22n = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 22n = 13 + -2 22n = 13 + -2 Combine like terms: 13 + -2 = 11 22n = 11 Divide each side by '22'. n = 0.5 Simplifying n = 0.5
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