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Simplifying 4n + 6(1 + -5n) = -28 + 8n 4n + (1 * 6 + -5n * 6) = -28 + 8n 4n + (6 + -30n) = -28 + 8n Reorder the terms: 6 + 4n + -30n = -28 + 8n Combine like terms: 4n + -30n = -26n 6 + -26n = -28 + 8n Solving 6 + -26n = -28 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 6 + -26n + -8n = -28 + 8n + -8n Combine like terms: -26n + -8n = -34n 6 + -34n = -28 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + -34n = -28 + 0 6 + -34n = -28 Add '-6' to each side of the equation. 6 + -6 + -34n = -28 + -6 Combine like terms: 6 + -6 = 0 0 + -34n = -28 + -6 -34n = -28 + -6 Combine like terms: -28 + -6 = -34 -34n = -34 Divide each side by '-34'. n = 1 Simplifying n = 1
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