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Simplifying (4n + -2) + (5n + 6) = 0 Reorder the terms: (-2 + 4n) + (5n + 6) = 0 Remove parenthesis around (-2 + 4n) -2 + 4n + (5n + 6) = 0 Reorder the terms: -2 + 4n + (6 + 5n) = 0 Remove parenthesis around (6 + 5n) -2 + 4n + 6 + 5n = 0 Reorder the terms: -2 + 6 + 4n + 5n = 0 Combine like terms: -2 + 6 = 4 4 + 4n + 5n = 0 Combine like terms: 4n + 5n = 9n 4 + 9n = 0 Solving 4 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9n = 0 + -4 9n = 0 + -4 Combine like terms: 0 + -4 = -4 9n = -4 Divide each side by '9'. n = -0.4444444444 Simplifying n = -0.4444444444
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