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Simplifying n + -8 = 6 + 5n + 3n Reorder the terms: -8 + n = 6 + 5n + 3n Combine like terms: 5n + 3n = 8n -8 + n = 6 + 8n Solving -8 + n = 6 + 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. -8 + n + -8n = 6 + 8n + -8n Combine like terms: n + -8n = -7n -8 + -7n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -7n = 6 + 0 -8 + -7n = 6 Add '8' to each side of the equation. -8 + 8 + -7n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7n = 6 + 8 -7n = 6 + 8 Combine like terms: 6 + 8 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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