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Simplifying 8n + -84 = 5n + -12 Reorder the terms: -84 + 8n = 5n + -12 Reorder the terms: -84 + 8n = -12 + 5n Solving -84 + 8n = -12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -84 + 8n + -5n = -12 + 5n + -5n Combine like terms: 8n + -5n = 3n -84 + 3n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -84 + 3n = -12 + 0 -84 + 3n = -12 Add '84' to each side of the equation. -84 + 84 + 3n = -12 + 84 Combine like terms: -84 + 84 = 0 0 + 3n = -12 + 84 3n = -12 + 84 Combine like terms: -12 + 84 = 72 3n = 72 Divide each side by '3'. n = 24 Simplifying n = 24
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