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Simplifying 8n + 31 = 3(-3 + 6n) Reorder the terms: 31 + 8n = 3(-3 + 6n) 31 + 8n = (-3 * 3 + 6n * 3) 31 + 8n = (-9 + 18n) Solving 31 + 8n = -9 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 31 + 8n + -18n = -9 + 18n + -18n Combine like terms: 8n + -18n = -10n 31 + -10n = -9 + 18n + -18n Combine like terms: 18n + -18n = 0 31 + -10n = -9 + 0 31 + -10n = -9 Add '-31' to each side of the equation. 31 + -31 + -10n = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -10n = -9 + -31 -10n = -9 + -31 Combine like terms: -9 + -31 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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