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Simplifying 4(2n + 3) + -3(n + 1) = 0 Reorder the terms: 4(3 + 2n) + -3(n + 1) = 0 (3 * 4 + 2n * 4) + -3(n + 1) = 0 (12 + 8n) + -3(n + 1) = 0 Reorder the terms: 12 + 8n + -3(1 + n) = 0 12 + 8n + (1 * -3 + n * -3) = 0 12 + 8n + (-3 + -3n) = 0 Reorder the terms: 12 + -3 + 8n + -3n = 0 Combine like terms: 12 + -3 = 9 9 + 8n + -3n = 0 Combine like terms: 8n + -3n = 5n 9 + 5n = 0 Solving 9 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = 0 + -9 5n = 0 + -9 Combine like terms: 0 + -9 = -9 5n = -9 Divide each side by '5'. n = -1.8 Simplifying n = -1.8
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