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Simplifying 31 + -2n = -1(8n + 5) Reorder the terms: 31 + -2n = -1(5 + 8n) 31 + -2n = (5 * -1 + 8n * -1) 31 + -2n = (-5 + -8n) Solving 31 + -2n = -5 + -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 + -2n + 8n = -5 + -8n + 8n Combine like terms: -2n + 8n = 6n 31 + 6n = -5 + -8n + 8n Combine like terms: -8n + 8n = 0 31 + 6n = -5 + 0 31 + 6n = -5 Add '-31' to each side of the equation. 31 + -31 + 6n = -5 + -31 Combine like terms: 31 + -31 = 0 0 + 6n = -5 + -31 6n = -5 + -31 Combine like terms: -5 + -31 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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