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Simplifying 3n + -12 = 8n + 3 Reorder the terms: -12 + 3n = 8n + 3 Reorder the terms: -12 + 3n = 3 + 8n Solving -12 + 3n = 3 + 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 + 3n + -8n = 3 + 8n + -8n Combine like terms: 3n + -8n = -5n -12 + -5n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -5n = 3 + 0 -12 + -5n = 3 Add '12' to each side of the equation. -12 + 12 + -5n = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = 3 + 12 -5n = 3 + 12 Combine like terms: 3 + 12 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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