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Simplifying -8n + (1 + 5n) = 6n + -14 Remove parenthesis around (1 + 5n) -8n + 1 + 5n = 6n + -14 Reorder the terms: 1 + -8n + 5n = 6n + -14 Combine like terms: -8n + 5n = -3n 1 + -3n = 6n + -14 Reorder the terms: 1 + -3n = -14 + 6n Solving 1 + -3n = -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. 1 + -3n + -6n = -14 + 6n + -6n Combine like terms: -3n + -6n = -9n 1 + -9n = -14 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -9n = -14 + 0 1 + -9n = -14 Add '-1' to each side of the equation. 1 + -1 + -9n = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -9n = -14 + -1 -9n = -14 + -1 Combine like terms: -14 + -1 = -15 -9n = -15 Divide each side by '-9'. n = 1.666666667 Simplifying n = 1.666666667
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