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Simplifying 8n + -4 = 3n + 21 Reorder the terms: -4 + 8n = 3n + 21 Reorder the terms: -4 + 8n = 21 + 3n Solving -4 + 8n = 21 + 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. -4 + 8n + -3n = 21 + 3n + -3n Combine like terms: 8n + -3n = 5n -4 + 5n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 5n = 21 + 0 -4 + 5n = 21 Add '4' to each side of the equation. -4 + 4 + 5n = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5n = 21 + 4 5n = 21 + 4 Combine like terms: 21 + 4 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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