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Simplifying -2n + 4(1 + -1n) = 2(4n + 30) -2n + (1 * 4 + -1n * 4) = 2(4n + 30) -2n + (4 + -4n) = 2(4n + 30) Reorder the terms: 4 + -2n + -4n = 2(4n + 30) Combine like terms: -2n + -4n = -6n 4 + -6n = 2(4n + 30) Reorder the terms: 4 + -6n = 2(30 + 4n) 4 + -6n = (30 * 2 + 4n * 2) 4 + -6n = (60 + 8n) Solving 4 + -6n = 60 + 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. 4 + -6n + -8n = 60 + 8n + -8n Combine like terms: -6n + -8n = -14n 4 + -14n = 60 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + -14n = 60 + 0 4 + -14n = 60 Add '-4' to each side of the equation. 4 + -4 + -14n = 60 + -4 Combine like terms: 4 + -4 = 0 0 + -14n = 60 + -4 -14n = 60 + -4 Combine like terms: 60 + -4 = 56 -14n = 56 Divide each side by '-14'. n = -4 Simplifying n = -4
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