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Simplifying 8n + -3 + 4n = 21 + 6n + -2n Reorder the terms: -3 + 8n + 4n = 21 + 6n + -2n Combine like terms: 8n + 4n = 12n -3 + 12n = 21 + 6n + -2n Combine like terms: 6n + -2n = 4n -3 + 12n = 21 + 4n Solving -3 + 12n = 21 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3 + 12n + -4n = 21 + 4n + -4n Combine like terms: 12n + -4n = 8n -3 + 8n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 8n = 21 + 0 -3 + 8n = 21 Add '3' to each side of the equation. -3 + 3 + 8n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8n = 21 + 3 8n = 21 + 3 Combine like terms: 21 + 3 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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