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Simplifying 46 = 8n + -14 + 4n Reorder the terms: 46 = -14 + 8n + 4n Combine like terms: 8n + 4n = 12n 46 = -14 + 12n Solving 46 = -14 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 46 + -12n = -14 + 12n + -12n Combine like terms: 12n + -12n = 0 46 + -12n = -14 + 0 46 + -12n = -14 Add '-46' to each side of the equation. 46 + -46 + -12n = -14 + -46 Combine like terms: 46 + -46 = 0 0 + -12n = -14 + -46 -12n = -14 + -46 Combine like terms: -14 + -46 = -60 -12n = -60 Divide each side by '-12'. n = 5 Simplifying n = 5
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