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Simplifying -2(1 + -4n) = 16 + 5n (1 * -2 + -4n * -2) = 16 + 5n (-2 + 8n) = 16 + 5n Solving -2 + 8n = 16 + 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 = 16 + 5n + -5n Combine like terms: 8n + -5n = 3n -2 + 3n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + 3n = 16 + 0 -2 + 3n = 16 Add '2' to each side of the equation. -2 + 2 + 3n = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 16 + 2 3n = 16 + 2 Combine like terms: 16 + 2 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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