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Simplifying 6(5 + 8n) + -3(-5n + -8) = 0 (5 * 6 + 8n * 6) + -3(-5n + -8) = 0 (30 + 48n) + -3(-5n + -8) = 0 Reorder the terms: 30 + 48n + -3(-8 + -5n) = 0 30 + 48n + (-8 * -3 + -5n * -3) = 0 30 + 48n + (24 + 15n) = 0 Reorder the terms: 30 + 24 + 48n + 15n = 0 Combine like terms: 30 + 24 = 54 54 + 48n + 15n = 0 Combine like terms: 48n + 15n = 63n 54 + 63n = 0 Solving 54 + 63n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 63n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 63n = 0 + -54 63n = 0 + -54 Combine like terms: 0 + -54 = -54 63n = -54 Divide each side by '63'. n = -0.8571428571 Simplifying n = -0.8571428571
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