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Simplifying 2n + 3n + 2 + -1n = 7n + 8 + -5n + -14 Reorder the terms: 2 + 2n + 3n + -1n = 7n + 8 + -5n + -14 Combine like terms: 2n + 3n = 5n 2 + 5n + -1n = 7n + 8 + -5n + -14 Combine like terms: 5n + -1n = 4n 2 + 4n = 7n + 8 + -5n + -14 Reorder the terms: 2 + 4n = 8 + -14 + 7n + -5n Combine like terms: 8 + -14 = -6 2 + 4n = -6 + 7n + -5n Combine like terms: 7n + -5n = 2n 2 + 4n = -6 + 2n Solving 2 + 4n = -6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 4n + -2n = -6 + 2n + -2n Combine like terms: 4n + -2n = 2n 2 + 2n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 2n = -6 + 0 2 + 2n = -6 Add '-2' to each side of the equation. 2 + -2 + 2n = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = -6 + -2 2n = -6 + -2 Combine like terms: -6 + -2 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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