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Simplifying 5n + -3 + 2n + 6 = 3n + 4 + -7n + -9 Reorder the terms: -3 + 6 + 5n + 2n = 3n + 4 + -7n + -9 Combine like terms: -3 + 6 = 3 3 + 5n + 2n = 3n + 4 + -7n + -9 Combine like terms: 5n + 2n = 7n 3 + 7n = 3n + 4 + -7n + -9 Reorder the terms: 3 + 7n = 4 + -9 + 3n + -7n Combine like terms: 4 + -9 = -5 3 + 7n = -5 + 3n + -7n Combine like terms: 3n + -7n = -4n 3 + 7n = -5 + -4n Solving 3 + 7n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + 7n + 4n = -5 + -4n + 4n Combine like terms: 7n + 4n = 11n 3 + 11n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + 11n = -5 + 0 3 + 11n = -5 Add '-3' to each side of the equation. 3 + -3 + 11n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 11n = -5 + -3 11n = -5 + -3 Combine like terms: -5 + -3 = -8 11n = -8 Divide each side by '11'. n = -0.7272727273 Simplifying n = -0.7272727273
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