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Simplifying 5n + 1 + n = -6 + 3n Reorder the terms: 1 + 5n + n = -6 + 3n Combine like terms: 5n + n = 6n 1 + 6n = -6 + 3n Solving 1 + 6n = -6 + 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 + 6n + -3n = -6 + 3n + -3n Combine like terms: 6n + -3n = 3n 1 + 3n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 3n = -6 + 0 1 + 3n = -6 Add '-1' to each side of the equation. 1 + -1 + 3n = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = -6 + -1 3n = -6 + -1 Combine like terms: -6 + -1 = -7 3n = -7 Divide each side by '3'. n = -2.333333333 Simplifying n = -2.333333333
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