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Simplifying 6n + -34 = 3n + 5 Reorder the terms: -34 + 6n = 3n + 5 Reorder the terms: -34 + 6n = 5 + 3n Solving -34 + 6n = 5 + 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. -34 + 6n + -3n = 5 + 3n + -3n Combine like terms: 6n + -3n = 3n -34 + 3n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 -34 + 3n = 5 + 0 -34 + 3n = 5 Add '34' to each side of the equation. -34 + 34 + 3n = 5 + 34 Combine like terms: -34 + 34 = 0 0 + 3n = 5 + 34 3n = 5 + 34 Combine like terms: 5 + 34 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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