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Simplifying -2n + 4(7 + -1n) = 2(4n + 42) -2n + (7 * 4 + -1n * 4) = 2(4n + 42) -2n + (28 + -4n) = 2(4n + 42) Reorder the terms: 28 + -2n + -4n = 2(4n + 42) Combine like terms: -2n + -4n = -6n 28 + -6n = 2(4n + 42) Reorder the terms: 28 + -6n = 2(42 + 4n) 28 + -6n = (42 * 2 + 4n * 2) 28 + -6n = (84 + 8n) Solving 28 + -6n = 84 + 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. 28 + -6n + -8n = 84 + 8n + -8n Combine like terms: -6n + -8n = -14n 28 + -14n = 84 + 8n + -8n Combine like terms: 8n + -8n = 0 28 + -14n = 84 + 0 28 + -14n = 84 Add '-28' to each side of the equation. 28 + -28 + -14n = 84 + -28 Combine like terms: 28 + -28 = 0 0 + -14n = 84 + -28 -14n = 84 + -28 Combine like terms: 84 + -28 = 56 -14n = 56 Divide each side by '-14'. n = -4 Simplifying n = -4
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