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Simplifying 2 + 7n = -4n + -9 Reorder the terms: 2 + 7n = -9 + -4n Solving 2 + 7n = -9 + -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. 2 + 7n + 4n = -9 + -4n + 4n Combine like terms: 7n + 4n = 11n 2 + 11n = -9 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + 11n = -9 + 0 2 + 11n = -9 Add '-2' to each side of the equation. 2 + -2 + 11n = -9 + -2 Combine like terms: 2 + -2 = 0 0 + 11n = -9 + -2 11n = -9 + -2 Combine like terms: -9 + -2 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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