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Simplifying 3(n + 4) = -5n + 36 Reorder the terms: 3(4 + n) = -5n + 36 (4 * 3 + n * 3) = -5n + 36 (12 + 3n) = -5n + 36 Reorder the terms: 12 + 3n = 36 + -5n Solving 12 + 3n = 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. 12 + 3n + 5n = 36 + -5n + 5n Combine like terms: 3n + 5n = 8n 12 + 8n = 36 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + 8n = 36 + 0 12 + 8n = 36 Add '-12' to each side of the equation. 12 + -12 + 8n = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = 36 + -12 8n = 36 + -12 Combine like terms: 36 + -12 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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