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Simplifying 12n + -21 + 32 = 8n + 27 + -12 Reorder the terms: -21 + 32 + 12n = 8n + 27 + -12 Combine like terms: -21 + 32 = 11 11 + 12n = 8n + 27 + -12 Reorder the terms: 11 + 12n = 27 + -12 + 8n Combine like terms: 27 + -12 = 15 11 + 12n = 15 + 8n Solving 11 + 12n = 15 + 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. 11 + 12n + -8n = 15 + 8n + -8n Combine like terms: 12n + -8n = 4n 11 + 4n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 11 + 4n = 15 + 0 11 + 4n = 15 Add '-11' to each side of the equation. 11 + -11 + 4n = 15 + -11 Combine like terms: 11 + -11 = 0 0 + 4n = 15 + -11 4n = 15 + -11 Combine like terms: 15 + -11 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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