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Simplifying 6n + 5 = 3n + 7 Reorder the terms: 5 + 6n = 3n + 7 Reorder the terms: 5 + 6n = 7 + 3n Solving 5 + 6n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 6n + -3n = 7 + 3n + -3n Combine like terms: 6n + -3n = 3n 5 + 3n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 3n = 7 + 0 5 + 3n = 7 Add '-5' to each side of the equation. 5 + -5 + 3n = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 7 + -5 3n = 7 + -5 Combine like terms: 7 + -5 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667
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