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Simplifying -31 + 8n = -3(n + 3) Reorder the terms: -31 + 8n = -3(3 + n) -31 + 8n = (3 * -3 + n * -3) -31 + 8n = (-9 + -3n) Solving -31 + 8n = -9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -31 + 8n + 3n = -9 + -3n + 3n Combine like terms: 8n + 3n = 11n -31 + 11n = -9 + -3n + 3n Combine like terms: -3n + 3n = 0 -31 + 11n = -9 + 0 -31 + 11n = -9 Add '31' to each side of the equation. -31 + 31 + 11n = -9 + 31 Combine like terms: -31 + 31 = 0 0 + 11n = -9 + 31 11n = -9 + 31 Combine like terms: -9 + 31 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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