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Simplifying 8n + -12 = -32 + 3n Reorder the terms: -12 + 8n = -32 + 3n Solving -12 + 8n = -32 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 8n + -3n = -32 + 3n + -3n Combine like terms: 8n + -3n = 5n -12 + 5n = -32 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 5n = -32 + 0 -12 + 5n = -32 Add '12' to each side of the equation. -12 + 12 + 5n = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = -32 + 12 5n = -32 + 12 Combine like terms: -32 + 12 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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