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Simplifying -12 = -4 + 8n + 2 + -3n Reorder the terms: -12 = -4 + 2 + 8n + -3n Combine like terms: -4 + 2 = -2 -12 = -2 + 8n + -3n Combine like terms: 8n + -3n = 5n -12 = -2 + 5n Solving -12 = -2 + 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. -12 + -5n = -2 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + -5n = -2 + 0 -12 + -5n = -2 Add '12' to each side of the equation. -12 + 12 + -5n = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = -2 + 12 -5n = -2 + 12 Combine like terms: -2 + 12 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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