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Simplifying -3(5 + -3n) + -8 = -31 + 8n (5 * -3 + -3n * -3) + -8 = -31 + 8n (-15 + 9n) + -8 = -31 + 8n Reorder the terms: -15 + -8 + 9n = -31 + 8n Combine like terms: -15 + -8 = -23 -23 + 9n = -31 + 8n Solving -23 + 9n = -31 + 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. -23 + 9n + -8n = -31 + 8n + -8n Combine like terms: 9n + -8n = 1n -23 + 1n = -31 + 8n + -8n Combine like terms: 8n + -8n = 0 -23 + 1n = -31 + 0 -23 + 1n = -31 Add '23' to each side of the equation. -23 + 23 + 1n = -31 + 23 Combine like terms: -23 + 23 = 0 0 + 1n = -31 + 23 1n = -31 + 23 Combine like terms: -31 + 23 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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