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Simplifying 40 = 8 + 2(4n + 8) Reorder the terms: 40 = 8 + 2(8 + 4n) 40 = 8 + (8 * 2 + 4n * 2) 40 = 8 + (16 + 8n) Combine like terms: 8 + 16 = 24 40 = 24 + 8n Solving 40 = 24 + 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. 40 + -8n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + -8n = 24 + 0 40 + -8n = 24 Add '-40' to each side of the equation. 40 + -40 + -8n = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -8n = 24 + -40 -8n = 24 + -40 Combine like terms: 24 + -40 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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