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Simplifying 6(1 + -5n) = -8n + -38 (1 * 6 + -5n * 6) = -8n + -38 (6 + -30n) = -8n + -38 Reorder the terms: 6 + -30n = -38 + -8n Solving 6 + -30n = -38 + -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 + -30n + 8n = -38 + -8n + 8n Combine like terms: -30n + 8n = -22n 6 + -22n = -38 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + -22n = -38 + 0 6 + -22n = -38 Add '-6' to each side of the equation. 6 + -6 + -22n = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -22n = -38 + -6 -22n = -38 + -6 Combine like terms: -38 + -6 = -44 -22n = -44 Divide each side by '-22'. n = 2 Simplifying n = 2
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