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