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Simplifying 12 + -3n + 4(2n + 5) = 0 Reorder the terms: 12 + -3n + 4(5 + 2n) = 0 12 + -3n + (5 * 4 + 2n * 4) = 0 12 + -3n + (20 + 8n) = 0 Reorder the terms: 12 + 20 + -3n + 8n = 0 Combine like terms: 12 + 20 = 32 32 + -3n + 8n = 0 Combine like terms: -3n + 8n = 5n 32 + 5n = 0 Solving 32 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5n = 0 + -32 5n = 0 + -32 Combine like terms: 0 + -32 = -32 5n = -32 Divide each side by '5'. n = -6.4 Simplifying n = -6.4
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