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Simplifying 8n + 4 + 5n = 4n + 7 + 6n + -2 Reorder the terms: 4 + 8n + 5n = 4n + 7 + 6n + -2 Combine like terms: 8n + 5n = 13n 4 + 13n = 4n + 7 + 6n + -2 Reorder the terms: 4 + 13n = 7 + -2 + 4n + 6n Combine like terms: 7 + -2 = 5 4 + 13n = 5 + 4n + 6n Combine like terms: 4n + 6n = 10n 4 + 13n = 5 + 10n Solving 4 + 13n = 5 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 4 + 13n + -10n = 5 + 10n + -10n Combine like terms: 13n + -10n = 3n 4 + 3n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 4 + 3n = 5 + 0 4 + 3n = 5 Add '-4' to each side of the equation. 4 + -4 + 3n = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 5 + -4 3n = 5 + -4 Combine like terms: 5 + -4 = 1 3n = 1 Divide each side by '3'. n = 0.3333333333 Simplifying n = 0.3333333333
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