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Simplifying (4n + 3) + 5n + 8 + -6 = 0 Reorder the terms: (3 + 4n) + 5n + 8 + -6 = 0 Remove parenthesis around (3 + 4n) 3 + 4n + 5n + 8 + -6 = 0 Reorder the terms: 3 + 8 + -6 + 4n + 5n = 0 Combine like terms: 3 + 8 = 11 11 + -6 + 4n + 5n = 0 Combine like terms: 11 + -6 = 5 5 + 4n + 5n = 0 Combine like terms: 4n + 5n = 9n 5 + 9n = 0 Solving 5 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 0 + -5 9n = 0 + -5 Combine like terms: 0 + -5 = -5 9n = -5 Divide each side by '9'. n = -0.5555555556 Simplifying n = -0.5555555556
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