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Simplifying (4 + 7n + 8n) + -1(9n + -6n + 2) = 0 Combine like terms: 7n + 8n = 15n (4 + 15n) + -1(9n + -6n + 2) = 0 Remove parenthesis around (4 + 15n) 4 + 15n + -1(9n + -6n + 2) = 0 Reorder the terms: 4 + 15n + -1(2 + 9n + -6n) = 0 Combine like terms: 9n + -6n = 3n 4 + 15n + -1(2 + 3n) = 0 4 + 15n + (2 * -1 + 3n * -1) = 0 4 + 15n + (-2 + -3n) = 0 Reorder the terms: 4 + -2 + 15n + -3n = 0 Combine like terms: 4 + -2 = 2 2 + 15n + -3n = 0 Combine like terms: 15n + -3n = 12n 2 + 12n = 0 Solving 2 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12n = 0 + -2 12n = 0 + -2 Combine like terms: 0 + -2 = -2 12n = -2 Divide each side by '12'. n = -0.1666666667 Simplifying n = -0.1666666667
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