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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 = -38n 2 + -38n = 13 + 30n + -30n Combine like terms: 30n + -30n = 0 2 + -38n = 13 + 0 2 + -38n = 13 Add '-2' to each side of the equation. 2 + -2 + -38n = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -38n = 13 + -2 -38n = 13 + -2 Combine like terms: 13 + -2 = 11 -38n = 11 Divide each side by '-38'. n = -0.2894736842 Simplifying n = -0.2894736842
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