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Simplifying 6n + -3 = 4n + -4 + -9n + -27 Reorder the terms: -3 + 6n = 4n + -4 + -9n + -27 Reorder the terms: -3 + 6n = -4 + -27 + 4n + -9n Combine like terms: -4 + -27 = -31 -3 + 6n = -31 + 4n + -9n Combine like terms: 4n + -9n = -5n -3 + 6n = -31 + -5n Solving -3 + 6n = -31 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -3 + 6n + 5n = -31 + -5n + 5n Combine like terms: 6n + 5n = 11n -3 + 11n = -31 + -5n + 5n Combine like terms: -5n + 5n = 0 -3 + 11n = -31 + 0 -3 + 11n = -31 Add '3' to each side of the equation. -3 + 3 + 11n = -31 + 3 Combine like terms: -3 + 3 = 0 0 + 11n = -31 + 3 11n = -31 + 3 Combine like terms: -31 + 3 = -28 11n = -28 Divide each side by '11'. n = -2.545454545 Simplifying n = -2.545454545
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