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Simplifying 31 = 8n + -1 Reorder the terms: 31 = -1 + 8n Solving 31 = -1 + 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. 31 + -8n = -1 + 8n + -8n Combine like terms: 8n + -8n = 0 31 + -8n = -1 + 0 31 + -8n = -1 Add '-31' to each side of the equation. 31 + -31 + -8n = -1 + -31 Combine like terms: 31 + -31 = 0 0 + -8n = -1 + -31 -8n = -1 + -31 Combine like terms: -1 + -31 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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