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Simplifying -4(1 + -2n) = 2(3n + 9) (1 * -4 + -2n * -4) = 2(3n + 9) (-4 + 8n) = 2(3n + 9) Reorder the terms: -4 + 8n = 2(9 + 3n) -4 + 8n = (9 * 2 + 3n * 2) -4 + 8n = (18 + 6n) Solving -4 + 8n = 18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -4 + 8n + -6n = 18 + 6n + -6n Combine like terms: 8n + -6n = 2n -4 + 2n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + 2n = 18 + 0 -4 + 2n = 18 Add '4' to each side of the equation. -4 + 4 + 2n = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 18 + 4 2n = 18 + 4 Combine like terms: 18 + 4 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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