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Simplifying Un + 1 = Un + 6n + 5 Reorder the terms: 1 + nU = Un + 6n + 5 Reorder the terms: 1 + nU = 5 + 6n + nU Add '-1nU' to each side of the equation. 1 + nU + -1nU = 5 + 6n + nU + -1nU Combine like terms: nU + -1nU = 0 1 + 0 = 5 + 6n + nU + -1nU 1 = 5 + 6n + nU + -1nU Combine like terms: nU + -1nU = 0 1 = 5 + 6n + 0 1 = 5 + 6n Solving 1 = 5 + 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. 1 + -6n = 5 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -6n = 5 + 0 1 + -6n = 5 Add '-1' to each side of the equation. 1 + -1 + -6n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 5 + -1 -6n = 5 + -1 Combine like terms: 5 + -1 = 4 -6n = 4 Divide each side by '-6'. n = -0.6666666667 Simplifying n = -0.6666666667
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