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Simplifying 5n + 13 = 14 + -6n Reorder the terms: 13 + 5n = 14 + -6n Solving 13 + 5n = 14 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 13 + 5n + 6n = 14 + -6n + 6n Combine like terms: 5n + 6n = 11n 13 + 11n = 14 + -6n + 6n Combine like terms: -6n + 6n = 0 13 + 11n = 14 + 0 13 + 11n = 14 Add '-13' to each side of the equation. 13 + -13 + 11n = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 11n = 14 + -13 11n = 14 + -13 Combine like terms: 14 + -13 = 1 11n = 1 Divide each side by '11'. n = 0.09090909091 Simplifying n = 0.09090909091
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