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