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