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Simplifying 8n + -6 + 2n = 13 + 5n Reorder the terms: -6 + 8n + 2n = 13 + 5n Combine like terms: 8n + 2n = 10n -6 + 10n = 13 + 5n Solving -6 + 10n = 13 + 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. -6 + 10n + -5n = 13 + 5n + -5n Combine like terms: 10n + -5n = 5n -6 + 5n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + 5n = 13 + 0 -6 + 5n = 13 Add '6' to each side of the equation. -6 + 6 + 5n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 13 + 6 5n = 13 + 6 Combine like terms: 13 + 6 = 19 5n = 19 Divide each side by '5'. n = 3.8 Simplifying n = 3.8
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