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Simplifying (9n + (-6)) + -1(2n + (-5)) = 0 (9n + -6) + -1(2n + (-5)) = 0 Reorder the terms: (-6 + 9n) + -1(2n + (-5)) = 0 Remove parenthesis around (-6 + 9n) -6 + 9n + -1(2n + (-5)) = 0 -6 + 9n + -1(2n + -5) = 0 Reorder the terms: -6 + 9n + -1(-5 + 2n) = 0 -6 + 9n + (-5 * -1 + 2n * -1) = 0 -6 + 9n + (5 + -2n) = 0 Reorder the terms: -6 + 5 + 9n + -2n = 0 Combine like terms: -6 + 5 = -1 -1 + 9n + -2n = 0 Combine like terms: 9n + -2n = 7n -1 + 7n = 0 Solving -1 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7n = 0 + 1 7n = 0 + 1 Combine like terms: 0 + 1 = 1 7n = 1 Divide each side by '7'. n = 0.1428571429 Simplifying n = 0.1428571429
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