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Simplifying 8(n + 3) = 36 + 5n Reorder the terms: 8(3 + n) = 36 + 5n (3 * 8 + n * 8) = 36 + 5n (24 + 8n) = 36 + 5n Solving 24 + 8n = 36 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 24 + 8n + -5n = 36 + 5n + -5n Combine like terms: 8n + -5n = 3n 24 + 3n = 36 + 5n + -5n Combine like terms: 5n + -5n = 0 24 + 3n = 36 + 0 24 + 3n = 36 Add '-24' to each side of the equation. 24 + -24 + 3n = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 3n = 36 + -24 3n = 36 + -24 Combine like terms: 36 + -24 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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