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Simplifying 2(1 + -4n) = -1(1 + 5n) (1 * 2 + -4n * 2) = -1(1 + 5n) (2 + -8n) = -1(1 + 5n) 2 + -8n = (1 * -1 + 5n * -1) 2 + -8n = (-1 + -5n) Solving 2 + -8n = -1 + -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. 2 + -8n + 5n = -1 + -5n + 5n Combine like terms: -8n + 5n = -3n 2 + -3n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + -3n = -1 + 0 2 + -3n = -1 Add '-2' to each side of the equation. 2 + -2 + -3n = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -1 + -2 -3n = -1 + -2 Combine like terms: -1 + -2 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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