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Simplifying 4(2n + 3) + 5(n + -3) = 0 Reorder the terms: 4(3 + 2n) + 5(n + -3) = 0 (3 * 4 + 2n * 4) + 5(n + -3) = 0 (12 + 8n) + 5(n + -3) = 0 Reorder the terms: 12 + 8n + 5(-3 + n) = 0 12 + 8n + (-3 * 5 + n * 5) = 0 12 + 8n + (-15 + 5n) = 0 Reorder the terms: 12 + -15 + 8n + 5n = 0 Combine like terms: 12 + -15 = -3 -3 + 8n + 5n = 0 Combine like terms: 8n + 5n = 13n -3 + 13n = 0 Solving -3 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13n = 0 + 3 13n = 0 + 3 Combine like terms: 0 + 3 = 3 13n = 3 Divide each side by '13'. n = 0.2307692308 Simplifying n = 0.2307692308
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