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Simplifying -8 + 5n + -6 + -8n = 1 + 2n Reorder the terms: -8 + -6 + 5n + -8n = 1 + 2n Combine like terms: -8 + -6 = -14 -14 + 5n + -8n = 1 + 2n Combine like terms: 5n + -8n = -3n -14 + -3n = 1 + 2n Solving -14 + -3n = 1 + 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. -14 + -3n + -2n = 1 + 2n + -2n Combine like terms: -3n + -2n = -5n -14 + -5n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + -5n = 1 + 0 -14 + -5n = 1 Add '14' to each side of the equation. -14 + 14 + -5n = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 1 + 14 -5n = 1 + 14 Combine like terms: 1 + 14 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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