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Simplifying 6n + -5 = 3n + 12 Reorder the terms: -5 + 6n = 3n + 12 Reorder the terms: -5 + 6n = 12 + 3n Solving -5 + 6n = 12 + 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 = 12 + 3n + -3n Combine like terms: 6n + -3n = 3n -5 + 3n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 3n = 12 + 0 -5 + 3n = 12 Add '5' to each side of the equation. -5 + 5 + 3n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 12 + 5 3n = 12 + 5 Combine like terms: 12 + 5 = 17 3n = 17 Divide each side by '3'. n = 5.666666667 Simplifying n = 5.666666667
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