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Simplifying -2n + 4(6 + -1n) = 2(4n + 40) -2n + (6 * 4 + -1n * 4) = 2(4n + 40) -2n + (24 + -4n) = 2(4n + 40) Reorder the terms: 24 + -2n + -4n = 2(4n + 40) Combine like terms: -2n + -4n = -6n 24 + -6n = 2(4n + 40) Reorder the terms: 24 + -6n = 2(40 + 4n) 24 + -6n = (40 * 2 + 4n * 2) 24 + -6n = (80 + 8n) Solving 24 + -6n = 80 + 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. 24 + -6n + -8n = 80 + 8n + -8n Combine like terms: -6n + -8n = -14n 24 + -14n = 80 + 8n + -8n Combine like terms: 8n + -8n = 0 24 + -14n = 80 + 0 24 + -14n = 80 Add '-24' to each side of the equation. 24 + -24 + -14n = 80 + -24 Combine like terms: 24 + -24 = 0 0 + -14n = 80 + -24 -14n = 80 + -24 Combine like terms: 80 + -24 = 56 -14n = 56 Divide each side by '-14'. n = -4 Simplifying n = -4
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