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Simplifying 6 + 14n + -5 = 7n + 45 + -4n Reorder the terms: 6 + -5 + 14n = 7n + 45 + -4n Combine like terms: 6 + -5 = 1 1 + 14n = 7n + 45 + -4n Reorder the terms: 1 + 14n = 45 + 7n + -4n Combine like terms: 7n + -4n = 3n 1 + 14n = 45 + 3n Solving 1 + 14n = 45 + 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. 1 + 14n + -3n = 45 + 3n + -3n Combine like terms: 14n + -3n = 11n 1 + 11n = 45 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 11n = 45 + 0 1 + 11n = 45 Add '-1' to each side of the equation. 1 + -1 + 11n = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 11n = 45 + -1 11n = 45 + -1 Combine like terms: 45 + -1 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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