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Simplifying -5n + 12n + 9 + (-3) = 0 -5n + 12n + 9 + -3 = 0 Reorder the terms: 9 + -3 + -5n + 12n = 0 Combine like terms: 9 + -3 = 6 6 + -5n + 12n = 0 Combine like terms: -5n + 12n = 7n 6 + 7n = 0 Solving 6 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 0 + -6 7n = 0 + -6 Combine like terms: 0 + -6 = -6 7n = -6 Divide each side by '7'. n = -0.8571428571 Simplifying n = -0.8571428571
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