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Simplifying 6n + 5 = 6n + -3n + -13 Reorder the terms: 5 + 6n = 6n + -3n + -13 Reorder the terms: 5 + 6n = -13 + 6n + -3n Combine like terms: 6n + -3n = 3n 5 + 6n = -13 + 3n Solving 5 + 6n = -13 + 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 = -13 + 3n + -3n Combine like terms: 6n + -3n = 3n 5 + 3n = -13 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 3n = -13 + 0 5 + 3n = -13 Add '-5' to each side of the equation. 5 + -5 + 3n = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = -13 + -5 3n = -13 + -5 Combine like terms: -13 + -5 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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