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Simplifying -13 + 6n = 3n + 2 Reorder the terms: -13 + 6n = 2 + 3n Solving -13 + 6n = 2 + 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. -13 + 6n + -3n = 2 + 3n + -3n Combine like terms: 6n + -3n = 3n -13 + 3n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -13 + 3n = 2 + 0 -13 + 3n = 2 Add '13' to each side of the equation. -13 + 13 + 3n = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = 2 + 13 3n = 2 + 13 Combine like terms: 2 + 13 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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