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Simplifying 2n + -6 = -5n + 11 Reorder the terms: -6 + 2n = -5n + 11 Reorder the terms: -6 + 2n = 11 + -5n Solving -6 + 2n = 11 + -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. -6 + 2n + 5n = 11 + -5n + 5n Combine like terms: 2n + 5n = 7n -6 + 7n = 11 + -5n + 5n Combine like terms: -5n + 5n = 0 -6 + 7n = 11 + 0 -6 + 7n = 11 Add '6' to each side of the equation. -6 + 6 + 7n = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 11 + 6 7n = 11 + 6 Combine like terms: 11 + 6 = 17 7n = 17 Divide each side by '7'. n = 2.428571429 Simplifying n = 2.428571429
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