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Simplifying (7 + -1) + 6n = 3n + 5 Combine like terms: 7 + -1 = 6 (6) + 6n = 3n + 5 6 + 6n = 3n + 5 Reorder the terms: 6 + 6n = 5 + 3n Solving 6 + 6n = 5 + 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. 6 + 6n + -3n = 5 + 3n + -3n Combine like terms: 6n + -3n = 3n 6 + 3n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 3n = 5 + 0 6 + 3n = 5 Add '-6' to each side of the equation. 6 + -6 + 3n = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 5 + -6 3n = 5 + -6 Combine like terms: 5 + -6 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333
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