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Simplifying 39 + 7 = 2(8n + 6) Combine like terms: 39 + 7 = 46 46 = 2(8n + 6) Reorder the terms: 46 = 2(6 + 8n) 46 = (6 * 2 + 8n * 2) 46 = (12 + 16n) Solving 46 = 12 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 46 + -16n = 12 + 16n + -16n Combine like terms: 16n + -16n = 0 46 + -16n = 12 + 0 46 + -16n = 12 Add '-46' to each side of the equation. 46 + -46 + -16n = 12 + -46 Combine like terms: 46 + -46 = 0 0 + -16n = 12 + -46 -16n = 12 + -46 Combine like terms: 12 + -46 = -34 -16n = -34 Divide each side by '-16'. n = 2.125 Simplifying n = 2.125
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