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Simplifying 5(3n + 8) + -4(2n + -5) = 0 Reorder the terms: 5(8 + 3n) + -4(2n + -5) = 0 (8 * 5 + 3n * 5) + -4(2n + -5) = 0 (40 + 15n) + -4(2n + -5) = 0 Reorder the terms: 40 + 15n + -4(-5 + 2n) = 0 40 + 15n + (-5 * -4 + 2n * -4) = 0 40 + 15n + (20 + -8n) = 0 Reorder the terms: 40 + 20 + 15n + -8n = 0 Combine like terms: 40 + 20 = 60 60 + 15n + -8n = 0 Combine like terms: 15n + -8n = 7n 60 + 7n = 0 Solving 60 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 7n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 7n = 0 + -60 7n = 0 + -60 Combine like terms: 0 + -60 = -60 7n = -60 Divide each side by '7'. n = -8.571428571 Simplifying n = -8.571428571
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