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Simplifying 3(n + 9) + 4(n + -2) = 0 Reorder the terms: 3(9 + n) + 4(n + -2) = 0 (9 * 3 + n * 3) + 4(n + -2) = 0 (27 + 3n) + 4(n + -2) = 0 Reorder the terms: 27 + 3n + 4(-2 + n) = 0 27 + 3n + (-2 * 4 + n * 4) = 0 27 + 3n + (-8 + 4n) = 0 Reorder the terms: 27 + -8 + 3n + 4n = 0 Combine like terms: 27 + -8 = 19 19 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n 19 + 7n = 0 Solving 19 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7n = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 7n = 0 + -19 7n = 0 + -19 Combine like terms: 0 + -19 = -19 7n = -19 Divide each side by '7'. n = -2.714285714 Simplifying n = -2.714285714
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