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Simplifying 7n + 6 + 3 = 5 + 8n + -5 + 2n Reorder the terms: 6 + 3 + 7n = 5 + 8n + -5 + 2n Combine like terms: 6 + 3 = 9 9 + 7n = 5 + 8n + -5 + 2n Reorder the terms: 9 + 7n = 5 + -5 + 8n + 2n Combine like terms: 5 + -5 = 0 9 + 7n = 0 + 8n + 2n 9 + 7n = 8n + 2n Combine like terms: 8n + 2n = 10n 9 + 7n = 10n Solving 9 + 7n = 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. 9 + 7n + -10n = 10n + -10n Combine like terms: 7n + -10n = -3n 9 + -3n = 10n + -10n Combine like terms: 10n + -10n = 0 9 + -3n = 0 Add '-9' to each side of the equation. 9 + -9 + -3n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = 0 + -9 -3n = 0 + -9 Combine like terms: 0 + -9 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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