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Simplifying 46 + -3n = 3(n + 6) + 8n Reorder the terms: 46 + -3n = 3(6 + n) + 8n 46 + -3n = (6 * 3 + n * 3) + 8n 46 + -3n = (18 + 3n) + 8n Combine like terms: 3n + 8n = 11n 46 + -3n = 18 + 11n Solving 46 + -3n = 18 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 46 + -3n + -11n = 18 + 11n + -11n Combine like terms: -3n + -11n = -14n 46 + -14n = 18 + 11n + -11n Combine like terms: 11n + -11n = 0 46 + -14n = 18 + 0 46 + -14n = 18 Add '-46' to each side of the equation. 46 + -46 + -14n = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -14n = 18 + -46 -14n = 18 + -46 Combine like terms: 18 + -46 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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