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Simplifying -8(8n + -2) = 3 + 10(1 + -3n) Reorder the terms: -8(-2 + 8n) = 3 + 10(1 + -3n) (-2 * -8 + 8n * -8) = 3 + 10(1 + -3n) (16 + -64n) = 3 + 10(1 + -3n) 16 + -64n = 3 + (1 * 10 + -3n * 10) 16 + -64n = 3 + (10 + -30n) Combine like terms: 3 + 10 = 13 16 + -64n = 13 + -30n Solving 16 + -64n = 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. 16 + -64n + 30n = 13 + -30n + 30n Combine like terms: -64n + 30n = -34n 16 + -34n = 13 + -30n + 30n Combine like terms: -30n + 30n = 0 16 + -34n = 13 + 0 16 + -34n = 13 Add '-16' to each side of the equation. 16 + -16 + -34n = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -34n = 13 + -16 -34n = 13 + -16 Combine like terms: 13 + -16 = -3 -34n = -3 Divide each side by '-34'. n = 0.08823529412 Simplifying n = 0.08823529412
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