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Simplifying 31 + -8n = 5(1 + -5n) + -8 31 + -8n = (1 * 5 + -5n * 5) + -8 31 + -8n = (5 + -25n) + -8 Reorder the terms: 31 + -8n = 5 + -8 + -25n Combine like terms: 5 + -8 = -3 31 + -8n = -3 + -25n Solving 31 + -8n = -3 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 31 + -8n + 25n = -3 + -25n + 25n Combine like terms: -8n + 25n = 17n 31 + 17n = -3 + -25n + 25n Combine like terms: -25n + 25n = 0 31 + 17n = -3 + 0 31 + 17n = -3 Add '-31' to each side of the equation. 31 + -31 + 17n = -3 + -31 Combine like terms: 31 + -31 = 0 0 + 17n = -3 + -31 17n = -3 + -31 Combine like terms: -3 + -31 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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