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Simplifying -2 + 7n + 6 + 5 = 4 + 8n Reorder the terms: -2 + 6 + 5 + 7n = 4 + 8n Combine like terms: -2 + 6 = 4 4 + 5 + 7n = 4 + 8n Combine like terms: 4 + 5 = 9 9 + 7n = 4 + 8n Solving 9 + 7n = 4 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 9 + 7n + -8n = 4 + 8n + -8n Combine like terms: 7n + -8n = -1n 9 + -1n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -1n = 4 + 0 9 + -1n = 4 Add '-9' to each side of the equation. 9 + -9 + -1n = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 4 + -9 -1n = 4 + -9 Combine like terms: 4 + -9 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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