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Simplifying 2 + -1n = 8 + -5n + 6 Reorder the terms: 2 + -1n = 8 + 6 + -5n Combine like terms: 8 + 6 = 14 2 + -1n = 14 + -5n Solving 2 + -1n = 14 + -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. 2 + -1n + 5n = 14 + -5n + 5n Combine like terms: -1n + 5n = 4n 2 + 4n = 14 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + 4n = 14 + 0 2 + 4n = 14 Add '-2' to each side of the equation. 2 + -2 + 4n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 14 + -2 4n = 14 + -2 Combine like terms: 14 + -2 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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