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Simplifying -6(1 + -5n) + 6n = -5n + -6 (1 * -6 + -5n * -6) + 6n = -5n + -6 (-6 + 30n) + 6n = -5n + -6 Combine like terms: 30n + 6n = 36n -6 + 36n = -5n + -6 Reorder the terms: -6 + 36n = -6 + -5n Add '6' to each side of the equation. -6 + 6 + 36n = -6 + 6 + -5n Combine like terms: -6 + 6 = 0 0 + 36n = -6 + 6 + -5n 36n = -6 + 6 + -5n Combine like terms: -6 + 6 = 0 36n = 0 + -5n 36n = -5n Solving 36n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 36n + 5n = -5n + 5n Combine like terms: 36n + 5n = 41n 41n = -5n + 5n Combine like terms: -5n + 5n = 0 41n = 0 Divide each side by '41'. n = 0 Simplifying n = 0
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