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Simplifying -2n + 4(3 + -1n) = 2(4n + 34) -2n + (3 * 4 + -1n * 4) = 2(4n + 34) -2n + (12 + -4n) = 2(4n + 34) Reorder the terms: 12 + -2n + -4n = 2(4n + 34) Combine like terms: -2n + -4n = -6n 12 + -6n = 2(4n + 34) Reorder the terms: 12 + -6n = 2(34 + 4n) 12 + -6n = (34 * 2 + 4n * 2) 12 + -6n = (68 + 8n) Solving 12 + -6n = 68 + 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. 12 + -6n + -8n = 68 + 8n + -8n Combine like terms: -6n + -8n = -14n 12 + -14n = 68 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -14n = 68 + 0 12 + -14n = 68 Add '-12' to each side of the equation. 12 + -12 + -14n = 68 + -12 Combine like terms: 12 + -12 = 0 0 + -14n = 68 + -12 -14n = 68 + -12 Combine like terms: 68 + -12 = 56 -14n = 56 Divide each side by '-14'. n = -4 Simplifying n = -4
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