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Simplifying 4(3 + -5n) + -7(5 + -4n) + 3 = 0 (3 * 4 + -5n * 4) + -7(5 + -4n) + 3 = 0 (12 + -20n) + -7(5 + -4n) + 3 = 0 12 + -20n + (5 * -7 + -4n * -7) + 3 = 0 12 + -20n + (-35 + 28n) + 3 = 0 Reorder the terms: 12 + -35 + 3 + -20n + 28n = 0 Combine like terms: 12 + -35 = -23 -23 + 3 + -20n + 28n = 0 Combine like terms: -23 + 3 = -20 -20 + -20n + 28n = 0 Combine like terms: -20n + 28n = 8n -20 + 8n = 0 Solving -20 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = 0 + 20 8n = 0 + 20 Combine like terms: 0 + 20 = 20 8n = 20 Divide each side by '8'. n = 2.5 Simplifying n = 2.5
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