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Simplifying 5n + 2(4n + -5) + -2 = 0 Reorder the terms: 5n + 2(-5 + 4n) + -2 = 0 5n + (-5 * 2 + 4n * 2) + -2 = 0 5n + (-10 + 8n) + -2 = 0 Reorder the terms: -10 + -2 + 5n + 8n = 0 Combine like terms: -10 + -2 = -12 -12 + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n -12 + 13n = 0 Solving -12 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 13n = 0 + 12 13n = 0 + 12 Combine like terms: 0 + 12 = 12 13n = 12 Divide each side by '13'. n = 0.9230769231 Simplifying n = 0.9230769231
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