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Simplifying (9n + 1) + -1(6n + (-2)) = 0 Reorder the terms: (1 + 9n) + -1(6n + (-2)) = 0 Remove parenthesis around (1 + 9n) 1 + 9n + -1(6n + (-2)) = 0 1 + 9n + -1(6n + -2) = 0 Reorder the terms: 1 + 9n + -1(-2 + 6n) = 0 1 + 9n + (-2 * -1 + 6n * -1) = 0 1 + 9n + (2 + -6n) = 0 Reorder the terms: 1 + 2 + 9n + -6n = 0 Combine like terms: 1 + 2 = 3 3 + 9n + -6n = 0 Combine like terms: 9n + -6n = 3n 3 + 3n = 0 Solving 3 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 0 + -3 3n = 0 + -3 Combine like terms: 0 + -3 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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