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Simplifying 6n + 8 = 13 + -2n Reorder the terms: 8 + 6n = 13 + -2n Solving 8 + 6n = 13 + -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. 8 + 6n + 2n = 13 + -2n + 2n Combine like terms: 6n + 2n = 8n 8 + 8n = 13 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 8n = 13 + 0 8 + 8n = 13 Add '-8' to each side of the equation. 8 + -8 + 8n = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = 13 + -8 8n = 13 + -8 Combine like terms: 13 + -8 = 5 8n = 5 Divide each side by '8'. n = 0.625 Simplifying n = 0.625
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